2559456678240 has 864 divisors, whose sum is σ = 11354254198560. Its totient is φ = 518857113600.

The previous prime is 2559456678227. The next prime is 2559456678241. The reversal of 2559456678240 is 428766549552.

2559456678240 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 456 + 67 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559456678241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31782346 + ... + 31862774.

It is an arithmetic number, because the mean of its divisors is an integer number (13141497915).

Almost surely, 2^{2559456678240} is an apocalyptic number.

2559456678240 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 2559456678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677127099280).

2559456678240 is an abundant number, since it is smaller than the sum of its proper divisors (8794797520320).

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

2559456678240 is a wasteful number, since it uses less digits than its factorization.

2559456678240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80516 (or 80498 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 2559456678240 in words is "two trillion, five hundred fifty-nine billion, four hundred fifty-six million, six hundred seventy-eight thousand, two hundred forty".