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2099889120 = 2535721937127
BaseRepresentation
bin111110100101001…
…1100001111100000
312102100022102100010
41331022130033200
513300032422440
6544211524520
7103015522500
oct17512341740
95370272303
102099889120
1198837285a
124a72b9740
1327607c554
1415cc5ba00
15c4544580
hex7d29c3e0

2099889120 has 576 divisors, whose sum is σ = 8383979520. Its totient is φ = 438939648.

The previous prime is 2099889107. The next prime is 2099889131. The reversal of 2099889120 is 219889902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2099889120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16534497 + ... + 16534623.

It is an arithmetic number, because the mean of its divisors is an integer number (14555520).

Almost surely, 22099889120 is an apocalyptic number.

2099889120 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 2099889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191989760).

2099889120 is an abundant number, since it is smaller than the sum of its proper divisors (6284090400).

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

2099889120 is a wasteful number, since it uses less digits than its factorization.

2099889120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 2099889120 is about 45824.5471336052. The cubic root of 2099889120 is about 1280.5566263975.

The spelling of 2099889120 in words is "two billion, ninety-nine million, eight hundred eighty-nine thousand, one hundred twenty".