2506116052 has 48 divisors (see below), whose sum is σ = 4870656000. Its totient is φ = 1118763360.

The previous prime is 2506116049. The next prime is 2506116059.

2506116052 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2506116052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506116059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689913 + ... + 693535.

It is an arithmetic number, because the mean of its divisors is an integer number (101472000).

Almost surely, 2^2506116052 is an apocalyptic number.

2506116052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2506116052 is a deficient number, since it is larger than the sum of its proper divisors (2364539948).

2506116052 is a wasteful number, since it uses less digits than its factorization.

2506116052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2506116052 is about 50061.1231595936. The cubic root of 2506116052 is about 1358.3146749349.

The spelling of 2506116052 in words is "two billion, five hundred six million, one hundred sixteen thousand, fifty-two".