2560564608000 has 1408 divisors, whose sum is σ = 10300372992000. Its totient is φ = 551972044800.

The previous prime is 2560564607983. The next prime is 2560564608029. The reversal of 2560564608000 is 8064650652.

It is a super-2 number, since 2×2560564608000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5131391751 + ... + 5131392249.

Almost surely, 2^{2560564608000} is an apocalyptic number.

2560564608000 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 2560564608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150186496000).

2560564608000 is an abundant number, since it is smaller than the sum of its proper divisors (7739808384000).

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

2560564608000 is a wasteful number, since it uses less digits than its factorization.

2560564608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 2560564608000 in words is "two trillion, five hundred sixty billion, five hundred sixty-four million, six hundred eight thousand".