2687538400 has 36 divisors (see below), whose sum is σ = 6560955072. Its totient is φ = 1075015040.

The previous prime is 2687538389. The next prime is 2687538409. The reversal of 2687538400 is 48357862.

It is a super-4 number, since 4×2687538400⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687538409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1678912 + ... + 1680511.

It is an arithmetic number, because the mean of its divisors is an integer number (182248752).

Almost surely, 2^2687538400 is an apocalyptic number.

2687538400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2687538400 is an abundant number, since it is smaller than the sum of its proper divisors (3873416672).

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

2687538400 is a wasteful number, since it uses less digits than its factorization.

2687538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359443 (or 3359430 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 2687538400 is about 51841.4737444838. The cubic root of 2687538400 is about 1390.3310634231.

The spelling of 2687538400 in words is "two billion, six hundred eighty-seven million, five hundred thirty-eight thousand, four hundred".