2506355352 has 64 divisors (see below), whose sum is σ = 6997557600. Its totient is φ = 831196800.

The previous prime is 2506355329. The next prime is 2506355353. The reversal of 2506355352 is 2535536052.

2506355352 is a `hidden beast` number, since 2 + 50 + 6 + 3 + 553 + 52 = 666.

2506355352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2506355352³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506355353) 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, 13102 + ... + 72002.

Almost surely, 2^2506355352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506355352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498778800).

2506355352 is an abundant number, since it is smaller than the sum of its proper divisors (4491202248).

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

2506355352 is a wasteful number, since it uses less digits than its factorization.

2506355352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59113 (or 59103 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The square root of 2506355352 is about 50063.5131807587. The cubic root of 2506355352 is about 1358.3579070851.

The spelling of 2506355352 in words is "two billion, five hundred six million, three hundred fifty-five thousand, three hundred fifty-two".