2638876400 has 60 divisors (see below), whose sum is σ = 6345483000. Its totient is φ = 1054621440.

The previous prime is 2638876393. The next prime is 2638876403. The reversal of 2638876400 is 46788362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638876403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617471 + ... + 621729.

It is an arithmetic number, because the mean of its divisors is an integer number (105758050).

Almost surely, 2^2638876400 is an apocalyptic number.

2638876400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638876400 is an abundant number, since it is smaller than the sum of its proper divisors (3706606600).

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

2638876400 is a wasteful number, since it uses less digits than its factorization.

2638876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 2638876400 is about 51369.9951333461. The cubic root of 2638876400 is about 1381.8885436450. Note that the first 3 decimals are identical.

The spelling of 2638876400 in words is "two billion, six hundred thirty-eight million, eight hundred seventy-six thousand, four hundred".