2559937423680 has 504 divisors, whose sum is σ = 10896627261312. Its totient is φ = 540117946368.

The previous prime is 2559937423679. The next prime is 2559937423733. The reversal of 2559937423680 is 863247399552.

2559937423680 is a `hidden beast` number, since 2 + 5 + 599 + 3 + 7 + 4 + 2 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2559937423680² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3031357 + ... + 3782723.

Almost surely, 2^{2559937423680} is an apocalyptic number.

2559937423680 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 2559937423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448313630656).

2559937423680 is an abundant number, since it is smaller than the sum of its proper divisors (8336689837632).

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

2559937423680 is a wasteful number, since it uses less digits than its factorization.

2559937423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751423 (or 751397 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 2559937423680 in words is "two trillion, five hundred fifty-nine billion, nine hundred thirty-seven million, four hundred twenty-three thousand, six hundred eighty".