2506034638116 has 135 divisors (see below), whose sum is σ = 6771804936897. Its totient is φ = 808113322080.

The previous prime is 2506034638057. The next prime is 2506034638153. The reversal of 2506034638116 is 6118364306052.

The square root of 2506034638116 is 1583046.

It is a perfect power (a square), and thus also a powerful number.

2506034638116 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 0 + 3 + 4 + 638 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85819702500 + 2420214935616 = 292950^2 + 1555704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 883338250 + ... + 883341086.

Almost surely, 2^{2506034638116} is an apocalyptic number.

2506034638116 is the 1583046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506034638116

2506034638116 is an abundant number, since it is smaller than the sum of its proper divisors (4265770298781).

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

2506034638116 is an frugal number, since it uses more digits than its factorization.

2506034638116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2506034638116 in words is "two trillion, five hundred six billion, thirty-four million, six hundred thirty-eight thousand, one hundred sixteen".