2559584940 has 96 divisors (see below), whose sum is σ = 8278308864. Its totient is φ = 584002560.

The previous prime is 2559584899. The next prime is 2559584953. The reversal of 2559584940 is 494859552.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102844 + ... + 125283.

It is an arithmetic number, because the mean of its divisors is an integer number (86232384).

Almost surely, 2^2559584940 is an apocalyptic number.

2559584940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2559584940 is an abundant number, since it is smaller than the sum of its proper divisors (5718723924).

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

2559584940 is a wasteful number, since it uses less digits than its factorization.

2559584940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228167 (or 228165 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The square root of 2559584940 is about 50592.3407246591. The cubic root of 2559584940 is about 1367.9068218229.

The spelling of 2559584940 in words is "two billion, five hundred fifty-nine million, five hundred eighty-four thousand, nine hundred forty".