2506131600 has 120 divisors (see below), whose sum is σ = 9174859200. Its totient is φ = 572828160.

The previous prime is 2506131587. The next prime is 2506131623. The reversal of 2506131600 is 61316052.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140775 + ... + 157574.

It is an arithmetic number, because the mean of its divisors is an integer number (76457160).

Almost surely, 2^2506131600 is an apocalyptic number.

2506131600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506131600 is an abundant number, since it is smaller than the sum of its proper divisors (6668727600).

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

2506131600 is a wasteful number, since it uses less digits than its factorization.

2506131600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298377 (or 298366 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2506131600 is about 50061.2784495162. The cubic root of 2506131600 is about 1358.3174839340.

Adding to 2506131600 its reverse (61316052), we get a palindrome (2567447652).

The spelling of 2506131600 in words is "two billion, five hundred six million, one hundred thirty-one thousand, six hundred".