2099951568 has 280 divisors, whose sum is σ = 7172353440. Its totient is φ = 586932480.

The previous prime is 2099951561. The next prime is 2099951603. The reversal of 2099951568 is 8651599902.

2099951568 is a `hidden beast` number, since 20 + 9 + 9 + 9 + 51 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099951561) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1667323 + ... + 1668581.

It is an arithmetic number, because the mean of its divisors is an integer number (25615548).

Almost surely, 2^2099951568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2099951568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586176720).

2099951568 is an abundant number, since it is smaller than the sum of its proper divisors (5072401872).

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

2099951568 is a wasteful number, since it uses less digits than its factorization.

2099951568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The square root of 2099951568 is about 45825.2285100686. The cubic root of 2099951568 is about 1280.5693203070.

The spelling of 2099951568 in words is "two billion, ninety-nine million, nine hundred fifty-one thousand, five hundred sixty-eight".