2560121408 has 112 divisors (see below), whose sum is σ = 5842650240. Its totient is φ = 1103155200.

The previous prime is 2560121387. The next prime is 2560121411. The reversal of 2560121408 is 8041210652.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1121228 + ... + 1123508.

It is an arithmetic number, because the mean of its divisors is an integer number (52166520).

Almost surely, 2^2560121408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921325120).

2560121408 is an abundant number, since it is smaller than the sum of its proper divisors (3282528832).

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

2560121408 is a wasteful number, since it uses less digits than its factorization.

2560121408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 2560121408 is about 50597.6423166139. The cubic root of 2560121408 is about 1368.0023824953.

The spelling of 2560121408 in words is "two billion, five hundred sixty million, one hundred twenty-one thousand, four hundred eight".