2638052400 has 60 divisors (see below), whose sum is σ = 8450565032. Its totient is φ = 703480320.

The previous prime is 2638052341. The next prime is 2638052437. The reversal of 2638052400 is 42508362.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1097989 + ... + 1100388.

Almost surely, 2^2638052400 is an apocalyptic number.

2638052400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638052400 is an abundant number, since it is smaller than the sum of its proper divisors (5812512632).

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

2638052400 is a wasteful number, since it uses less digits than its factorization.

2638052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198398 (or 2198387 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2638052400 is about 51361.9742611205. The cubic root of 2638052400 is about 1381.7446952127.

The spelling of 2638052400 in words is "two billion, six hundred thirty-eight million, fifty-two thousand, four hundred".