2508338052 has 36 divisors (see below), whose sum is σ = 6916933296. Its totient is φ = 760102320.

The previous prime is 2508338039. The next prime is 2508338081.

2508338052 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2508338052² = 12583519566222309408, which contains 22 as substring.

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 = 2508337998 and 2508338016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3166698 + ... + 3167489.

It is an arithmetic number, because the mean of its divisors is an integer number (192137036).

Almost surely, 2^2508338052 is an apocalyptic number.

2508338052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2508338052 is an abundant number, since it is smaller than the sum of its proper divisors (4408595244).

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

2508338052 is a wasteful number, since it uses less digits than its factorization.

2508338052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334208 (or 6334203 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2508338052 is about 50083.3111125852. The cubic root of 2508338052 is about 1358.7159976167.

The spelling of 2508338052 in words is "two billion, five hundred eight million, three hundred thirty-eight thousand, fifty-two".