2506752738 has 64 divisors (see below), whose sum is σ = 6538456320. Its totient is φ = 696854016.

The previous prime is 2506752737. The next prime is 2506752749. The reversal of 2506752738 is 8372576052.

2506752738 is a `hidden beast` number, since 2 + 506 + 75 + 2 + 73 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2506752693 and 2506752702.

It is not an unprimeable number, because it can be changed into a prime (2506752733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75631 + ... + 103602.

It is an arithmetic number, because the mean of its divisors is an integer number (102163380).

Almost surely, 2^2506752738 is an apocalyptic number.

2506752738 is an abundant number, since it is smaller than the sum of its proper divisors (4031703582).

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

2506752738 is a wasteful number, since it uses less digits than its factorization.

2506752738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179288 (or 179282 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2506752738 is about 50067.4818420100. The cubic root of 2506752738 is about 1358.4296931135.

The spelling of 2506752738 in words is "two billion, five hundred six million, seven hundred fifty-two thousand, seven hundred thirty-eight".