2561950968 has 32 divisors (see below), whose sum is σ = 6423356160. Its totient is φ = 851519840.

The previous prime is 2561950967. The next prime is 2561950999. The reversal of 2561950968 is 8690591652.

It is a super-2 number, since 2×2561950968² = 13127185524872274048, 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 2561950968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561950967) 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, 145488 + ... + 162143.

It is an arithmetic number, because the mean of its divisors is an integer number (200729880).

Almost surely, 2^2561950968 is an apocalyptic number.

It is an amenable number.

2561950968 is an abundant number, since it is smaller than the sum of its proper divisors (3861405192).

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

2561950968 is a wasteful number, since it uses less digits than its factorization.

2561950968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307987 (or 307983 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 2561950968 is about 50615.7185862258. The cubic root of 2561950968 is about 1368.3281803864.

The spelling of 2561950968 in words is "two billion, five hundred sixty-one million, nine hundred fifty thousand, nine hundred sixty-eight".