2506556052 has 144 divisors (see below), whose sum is σ = 8507221632. Its totient is φ = 600963840.

The previous prime is 2506556047. The next prime is 2506556069.

2506556052 is a `hidden beast` number, since 2 + 50 + 6 + 556 + 0 + 52 = 666.

2506556052 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2506555998 and 2506556016.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1258 + ... + 70814.

It is an arithmetic number, because the mean of its divisors is an integer number (59077928).

Almost surely, 2^2506556052 is an apocalyptic number.

2506556052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506556052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253610816).

2506556052 is an abundant number, since it is smaller than the sum of its proper divisors (6000665580).

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

2506556052 is a wasteful number, since it uses less digits than its factorization.

2506556052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69598 (or 69593 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 2506556052 is about 50065.5175944482. The cubic root of 2506556052 is about 1358.3941636033.

The spelling of 2506556052 in words is "two billion, five hundred six million, five hundred fifty-six thousand, fifty-two".