2538738100 has 18 divisors (see below), whose sum is σ = 5509061894. Its totient is φ = 1015495200.

The previous prime is 2538738089. The next prime is 2538738101. The reversal of 2538738100 is 18378352.

It can be written as a sum of positive squares in 3 ways, for example, as 811338256 + 1727399844 = 28484^2 + 41562^2 .

It is a super-2 number, since 2×2538738100² = 12890382280783220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2538738100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538738101) 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, 12693591 + ... + 12693790.

Almost surely, 2^2538738100 is an apocalyptic number.

2538738100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2538738100 is an abundant number, since it is smaller than the sum of its proper divisors (2970323794).

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

2538738100 is a wasteful number, since it uses less digits than its factorization.

2538738100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25387395 (or 25387388 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 2538738100 is about 50385.8918746111. The cubic root of 2538738100 is about 1364.1830011916.

The spelling of 2538738100 in words is "two billion, five hundred thirty-eight million, seven hundred thirty-eight thousand, one hundred".