2632394880 has 96 divisors (see below), whose sum is σ = 9090008460. Its totient is φ = 701970432.

The previous prime is 2632394867. The next prime is 2632394923. The reversal of 2632394880 is 884932362.

2632394880 is a `hidden beast` number, since 2 + 632 + 3 + 9 + 4 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2596106304 + 36288576 = 50952^2 + 6024^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-5 number, since 5×2632394880⁵ (a number of 48 digits) contains 55555 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222747 + ... + 234266.

Almost surely, 2^2632394880 is an apocalyptic number.

2632394880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2632394880 is an abundant number, since it is smaller than the sum of its proper divisors (6457613580).

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

2632394880 is a wasteful number, since it uses less digits than its factorization.

2632394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457038 (or 457023 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2632394880 is about 51306.8697154679. The cubic root of 2632394880 is about 1380.7562332752.

The spelling of 2632394880 in words is "two billion, six hundred thirty-two million, three hundred ninety-four thousand, eight hundred eighty".