2561464040 has 32 divisors (see below), whose sum is σ = 5790627360. Its totient is φ = 1019726400.

The previous prime is 2561464019. The next prime is 2561464051. The reversal of 2561464040 is 404641652.

2561464040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2561464040² = 13122196056426243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2561463988 and 2561464006.

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, 143306 + ... + 160185.

It is an arithmetic number, because the mean of its divisors is an integer number (180957105).

Almost surely, 2^2561464040 is an apocalyptic number.

2561464040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561464040 is an abundant number, since it is smaller than the sum of its proper divisors (3229163320).

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

2561464040 is a wasteful number, since it uses less digits than its factorization.

2561464040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303713 (or 303709 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2561464040 is about 50610.9083103633. The cubic root of 2561464040 is about 1368.2414861017.

The spelling of 2561464040 in words is "two billion, five hundred sixty-one million, four hundred sixty-four thousand, forty".