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2102445440 = 27543241317
BaseRepresentation
bin111110101010000…
…1100010110000000
312102112010021221122
41331110030112000
513301211223230
6544342411412
7103046330354
oct17524142600
95375107848
102102445440
11989859417
124a8130b68
13276765c74
1415d325464
15c489bbe5
hex7d50c580

2102445440 has 128 divisors (see below), whose sum is σ = 5180677920. Its totient is φ = 815431680.

The previous prime is 2102445427. The next prime is 2102445463. The reversal of 2102445440 is 445442012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6632162 + ... + 6632478.

Almost surely, 22102445440 is an apocalyptic number.

2102445440 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 2102445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590338960).

2102445440 is an abundant number, since it is smaller than the sum of its proper divisors (3078232480).

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

2102445440 is a wasteful number, since it uses less digits than its factorization.

2102445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 2102445440 is about 45852.4311242054. The cubic root of 2102445440 is about 1281.0760482778.

Adding to 2102445440 its reverse (445442012), we get a palindrome (2547887452).

The spelling of 2102445440 in words is "two billion, one hundred two million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 241 317 320 344 430 482 634 640 688 860 964 1205 1268 1376 1585 1720 1928 2410 2536 2752 3170 3440 3856 4820 5072 5504 6340 6880 7712 9640 10144 10363 12680 13631 13760 15424 19280 20288 20726 25360 27262 27520 30848 38560 40576 41452 50720 51815 54524 68155 76397 77120 82904 101440 103630 109048 136310 152794 154240 165808 202880 207260 218096 272620 305588 331616 381985 414520 436192 545240 611176 663232 763970 829040 872384 1090480 1222352 1326464 1527940 1658080 1744768 2180960 2444704 3055880 3285071 3316160 4361920 4889408 6111760 6570142 6632320 8723840 9778816 12223520 13140284 16425355 24447040 26280568 32850710 48894080 52561136 65701420 105122272 131402840 210244544 262805680 420489088 525611360 1051222720 2102445440