2560467720 has 32 divisors (see below), whose sum is σ = 7681403520. Its totient is φ = 682791360.

The previous prime is 2560467713. The next prime is 2560467727. The reversal of 2560467720 is 277640652.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2560467713) and next prime (2560467727).

It is not an unprimeable number, because it can be changed into a prime (2560467727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10668496 + ... + 10668735.

It is an arithmetic number, because the mean of its divisors is an integer number (240043860).

Almost surely, 2^2560467720 is an apocalyptic number.

2560467720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560467720 is an abundant number, since it is smaller than the sum of its proper divisors (5120935800).

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

2560467720 is a wasteful number, since it uses less digits than its factorization.

2560467720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21337245 (or 21337241 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 2560467720 is about 50601.0644156820. The cubic root of 2560467720 is about 1368.0640637212.

The spelling of 2560467720 in words is "two billion, five hundred sixty million, four hundred sixty-seven thousand, seven hundred twenty".