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2097381880 = 2351119318093
BaseRepresentation
bin111110100000011…
…1000000111111000
312102011121001001101
41331000320013320
513243412210010
6544042101144
7102655310656
oct17500700770
95364531041
102097381880
11986a10060
124a64aa7b4
132756b2289
1415c7a7dd6
15c41eb73a
hex7d0381f8

2097381880 has 128 divisors (see below), whose sum is σ = 5594572800. Its totient is φ = 699148800.

The previous prime is 2097381791. The next prime is 2097381931. The reversal of 2097381880 is 881837902.

It is a self number, because there is not a number n which added to its sum of digits gives 2097381880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255114 + ... + 263206.

It is an arithmetic number, because the mean of its divisors is an integer number (43707600).

Almost surely, 22097381880 is an apocalyptic number.

2097381880 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 2097381880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797286400).

2097381880 is an abundant number, since it is smaller than the sum of its proper divisors (3497190920).

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

2097381880 is a wasteful number, since it uses less digits than its factorization.

2097381880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8165 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 2097381880 is about 45797.1820093770. The cubic root of 2097381880 is about 1280.0467674970.

It can be divided in two parts, 209 and 7381880, that added together give a square (7382089 = 27172).

The spelling of 2097381880 in words is "two billion, ninety-seven million, three hundred eighty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 19 20 22 31 38 40 44 55 62 76 88 95 110 124 152 155 190 209 220 248 310 341 380 418 440 589 620 682 760 836 1045 1178 1240 1364 1672 1705 2090 2356 2728 2945 3410 4180 4712 5890 6479 6820 8093 8360 11780 12958 13640 16186 23560 25916 32372 32395 40465 51832 64744 64790 80930 89023 129580 153767 161860 178046 250883 259160 307534 323720 356092 445115 501766 615068 712184 768835 890230 1003532 1230136 1254415 1537670 1691437 1780460 2007064 2508830 2759713 3075340 3382874 3560920 4766777 5017660 5519426 6150680 6765748 8457185 9533554 10035320 11038852 13531496 13798565 16914370 19067108 22077704 23833885 27597130 33828740 38134216 47667770 52434547 55194260 67657480 95335540 104869094 110388520 190671080 209738188 262172735 419476376 524345470 1048690940 2097381880