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2100598920 = 23365741251
BaseRepresentation
bin111110100110100…
…1001100010001000
312102101122111000000
41331031021202020
513300223131140
6544235043000
7103024540050
oct17515114210
95371574000
102100598920
11988808072
124a75a0460
1327626a654
1415cda4560
15c4634a30
hex7d349888

2100598920 has 448 divisors, whose sum is σ = 8329184640. Its totient is φ = 466560000.

The previous prime is 2100598919. The next prime is 2100598949. The reversal of 2100598920 is 298950012.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8368795 + ... + 8369045.

It is an arithmetic number, because the mean of its divisors is an integer number (18591930).

Almost surely, 22100598920 is an apocalyptic number.

2100598920 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 2100598920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164592320).

2100598920 is an abundant number, since it is smaller than the sum of its proper divisors (6228585720).

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

2100598920 is a wasteful number, since it uses less digits than its factorization.

2100598920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 2100598920 is about 45832.2912366380. The cubic root of 2100598920 is about 1280.7008938085.

The spelling of 2100598920 in words is "two billion, one hundred million, five hundred ninety-eight thousand, nine hundred twenty".