2505364968 has 32 divisors (see below), whose sum is σ = 6265834560. Its totient is φ = 834798720.

The previous prime is 2505364957. The next prime is 2505364991. The reversal of 2505364968 is 8694635052.

2505364968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47853 + ... + 85443.

It is an arithmetic number, because the mean of its divisors is an integer number (195807330).

Almost surely, 2^2505364968 is an apocalyptic number.

It is an amenable number.

2505364968 is an abundant number, since it is smaller than the sum of its proper divisors (3760469592).

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

2505364968 is a wasteful number, since it uses less digits than its factorization.

2505364968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40377 (or 40373 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 2505364968 is about 50053.6209279608. The cubic root of 2505364968 is about 1358.1789655565.

The spelling of 2505364968 in words is "two billion, five hundred five million, three hundred sixty-four thousand, nine hundred sixty-eight".