2508921948 has 144 divisors (see below), whose sum is σ = 6827750496. Its totient is φ = 714055680.

The previous prime is 2508921923. The next prime is 2508921953. The reversal of 2508921948 is 8491298052.

It is a super-2 number, since 2×2508921948² = 12589378682312229408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2508921897 and 2508921906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2102440 + ... + 2103632.

It is an arithmetic number, because the mean of its divisors is an integer number (47414934).

Almost surely, 2^2508921948 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 2508921948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413875248).

2508921948 is an abundant number, since it is smaller than the sum of its proper divisors (4318828548).

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

2508921948 is a wasteful number, since it uses less digits than its factorization.

2508921948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 2508921948 is about 50089.1400205673. The cubic root of 2508921948 is about 1358.8214176556.

The spelling of 2508921948 in words is "two billion, five hundred eight million, nine hundred twenty-one thousand, nine hundred forty-eight".