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2042110637560 = 2357191632354941
BaseRepresentation
bin11101101101110111010…
…001110111010111111000
321020020001012102212220001
4131231313101313113320
5231424220310400220
64202044354042344
7300352256006110
oct35556721672770
97206035385801
102042110637560
11718066243094
1228b9368793b4
1311a75498a5a6
1470ba54b6040
15381bee2d80a
hex1db774775f8

2042110637560 has 128 divisors (see below), whose sum is σ = 5561431027200. Its totient is φ = 659232483840.

The previous prime is 2042110637519. The next prime is 2042110637569. The reversal of 2042110637560 is 657360112402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042110637569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310311 + ... + 2044630.

It is an arithmetic number, because the mean of its divisors is an integer number (43448679900).

Almost surely, 22042110637560 is an apocalyptic number.

2042110637560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042110637560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780715513600).

2042110637560 is an abundant number, since it is smaller than the sum of its proper divisors (3519320389640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2042110637560 is a wasteful number, since it uses less digits than its factorization.

2042110637560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355141 (or 2355137 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 2042110637560 its reverse (657360112402), we get a palindrome (2699470749962).

The spelling of 2042110637560 in words is "two trillion, forty-two billion, one hundred ten million, six hundred thirty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 163 190 266 280 326 380 532 652 665 760 815 1064 1141 1304 1330 1630 2282 2660 3097 3260 4564 5320 5705 6194 6520 9128 11410 12388 15485 21679 22820 24776 30970 43358 45640 61940 86716 108395 123880 173432 216790 433580 867160 2354941 4709882 9419764 11774705 16484587 18839528 23549410 32969174 44743879 47098820 65938348 82422935 89487758 94197640 131876696 164845870 178975516 223719395 313207153 329691740 357951032 383855383 447438790 626414306 659383480 767710766 894877580 1252828612 1535421532 1566035765 1789755160 1919276915 2505657224 2686987681 3070843064 3132071530 3838553830 5373975362 6264143060 7293252277 7677107660 10747950724 12528286120 13434938405 14586504554 15354215320 21495901448 26869876810 29173009108 36466261385 51052765939 53739753620 58346018216 72932522770 102105531878 107479507240 145865045540 204211063756 255263829695 291730091080 408422127512 510527659390 1021055318780 2042110637560