2505658944 has 56 divisors (see below), whose sum is σ = 6808752448. Its totient is φ = 812643840.

The previous prime is 2505658943. The next prime is 2505658993. The reversal of 2505658944 is 4498565052.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2505658893 and 2505658902.

It is not an unprimeable number, because it can be changed into a prime (2505658943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169252 + ... + 183459.

Almost surely, 2^2505658944 is an apocalyptic number.

2505658944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2505658944 is an abundant number, since it is smaller than the sum of its proper divisors (4303093504).

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

2505658944 is a wasteful number, since it uses less digits than its factorization.

2505658944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352763 (or 352753 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The square root of 2505658944 is about 50056.5574525456. The cubic root of 2505658944 is about 1358.2320857484.

The spelling of 2505658944 in words is "two billion, five hundred five million, six hundred fifty-eight thousand, nine hundred forty-four".