2538506900 has 36 divisors (see below), whose sum is σ = 5539033500. Its totient is φ = 1009785600.

The previous prime is 2538506879. The next prime is 2538506903. The reversal of 2538506900 is 96058352.

It can be written as a sum of positive squares in 6 ways, for example, as 630913924 + 1907592976 = 25118^2 + 43676^2 .

It is a super-2 number, since 2×2538506900² = 12888034562695220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538506903) 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, 52025 + ... + 88224.

Almost surely, 2^2538506900 is an apocalyptic number.

2538506900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2538506900 is an abundant number, since it is smaller than the sum of its proper divisors (3000526600).

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

2538506900 is a wasteful number, since it uses less digits than its factorization.

2538506900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140444 (or 140437 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 2538506900 is about 50383.5975293547. The cubic root of 2538506900 is about 1364.1415884015.

The spelling of 2538506900 in words is "two billion, five hundred thirty-eight million, five hundred six thousand, nine hundred".