2559407760 has 640 divisors, whose sum is σ = 11249280000. Its totient is φ = 520224768.

The previous prime is 2559407743. The next prime is 2559407761. The reversal of 2559407760 is 677049552.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2559407761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5700016 + ... + 5700464.

It is an arithmetic number, because the mean of its divisors is an integer number (17577000).

Almost surely, 2^2559407760 is an apocalyptic number.

2559407760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2559407760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

2559407760 is an abundant number, since it is smaller than the sum of its proper divisors (8689872240).

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

2559407760 is a wasteful number, since it uses less digits than its factorization.

2559407760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 2559407760 is about 50590.5896387856. The cubic root of 2559407760 is about 1367.8752579393.

The spelling of 2559407760 in words is "two billion, five hundred fifty-nine million, four hundred seven thousand, seven hundred sixty".