2506886052 has 96 divisors (see below), whose sum is σ = 6603878400. Its totient is φ = 733276800.

The previous prime is 2506886033. The next prime is 2506886059.

2506886052 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2506885995 and 2506886013.

It is not an unprimeable number, because it can be changed into a prime (2506886059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3023574 + ... + 3024402.

It is an arithmetic number, because the mean of its divisors is an integer number (68790400).

Almost surely, 2^2506886052 is an apocalyptic number.

2506886052 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 2506886052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301939200).

2506886052 is an abundant number, since it is smaller than the sum of its proper divisors (4096992348).

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

2506886052 is a wasteful number, since it uses less digits than its factorization.

2506886052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 2506886052 is about 50068.8131674798. The cubic root of 2506886052 is about 1358.4537740002.

The spelling of 2506886052 in words is "two billion, five hundred six million, eight hundred eighty-six thousand, fifty-two".