2152634880 has 320 divisors, whose sum is σ = 7622512128. Its totient is φ = 513884160.

The previous prime is 2152634879. The next prime is 2152634923. The reversal of 2152634880 is 884362512.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2152634880² = 9267673853185228800, which contains 22 as substring.

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, 7011687 + ... + 7011993.

Almost surely, 2^2152634880 is an apocalyptic number.

2152634880 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 2152634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811256064).

2152634880 is an abundant number, since it is smaller than the sum of its proper divisors (5469877248).

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

2152634880 is a wasteful number, since it uses less digits than its factorization.

2152634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2152634880 is about 46396.4964194496. The cubic root of 2152634880 is about 1291.1899122282.

The spelling of 2152634880 in words is "two billion, one hundred fifty-two million, six hundred thirty-four thousand, eight hundred eighty".