2638232880 has 80 divisors (see below), whose sum is σ = 8184282720. Its totient is φ = 703033344.

The previous prime is 2638232827. The next prime is 2638232881. The reversal of 2638232880 is 882328362.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2638232880² = 13920545458226188800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2638232881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 446586 + ... + 452454.

It is an arithmetic number, because the mean of its divisors is an integer number (102303534).

Almost surely, 2^2638232880 is an apocalyptic number.

2638232880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638232880 is an abundant number, since it is smaller than the sum of its proper divisors (5546049840).

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

2638232880 is a wasteful number, since it uses less digits than its factorization.

2638232880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7758 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2638232880 is about 51363.7311728811. The cubic root of 2638232880 is about 1381.7762047707.

The spelling of 2638232880 in words is "two billion, six hundred thirty-eight million, two hundred thirty-two thousand, eight hundred eighty".