2564713704960 has 3200 divisors, whose sum is σ = 11499104010240. Its totient is φ = 538671513600.

The previous prime is 2564713704911. The next prime is 2564713704989. The reversal of 2564713704960 is 694073174652.

2564713704960 is a `hidden beast` number, since 2 + 5 + 6 + 471 + 3 + 70 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2564713704897 and 2564713704906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30900165079 + ... + 30900165161.

Almost surely, 2^{2564713704960} is an apocalyptic number.

2564713704960 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 2564713704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749552005120).

2564713704960 is an abundant number, since it is smaller than the sum of its proper divisors (8934390305280).

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

2564713704960 is a wasteful number, since it uses less digits than its factorization.

2564713704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 2564713704960 in words is "two trillion, five hundred sixty-four billion, seven hundred thirteen million, seven hundred four thousand, nine hundred sixty".