2508701952 has 72 divisors (see below), whose sum is σ = 6693527680. Its totient is φ = 834140160.

The previous prime is 2508701911. The next prime is 2508701981. The reversal of 2508701952 is 2591078052.

It is a super-2 number, since 2×2508701952² = 12587170967937220608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2508701952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319449 + ... + 327207.

Almost surely, 2^2508701952 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 2508701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346763840).

2508701952 is an abundant number, since it is smaller than the sum of its proper divisors (4184825728).

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

2508701952 is an equidigital number, since it uses as much as digits as its factorization.

2508701952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8199 (or 8185 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 2508701952 is about 50086.9439275346. The cubic root of 2508701952 is about 1358.7817001965.

The spelling of 2508701952 in words is "two billion, five hundred eight million, seven hundred one thousand, nine hundred fifty-two".