2564158070880 has 960 divisors, whose sum is σ = 10877781454848. Its totient is φ = 556453048320.

The previous prime is 2564158070857. The next prime is 2564158070941. The reversal of 2564158070880 is 880708514652.

2564158070880 is a `hidden beast` number, since 2 + 5 + 6 + 415 + 80 + 70 + 8 + 80 = 666.

It is a super-2 number, since 2×2564158070880² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 149044359 + ... + 149061561.

Almost surely, 2^{2564158070880} is an apocalyptic number.

2564158070880 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 2564158070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438890727424).

2564158070880 is an abundant number, since it is smaller than the sum of its proper divisors (8313623383968).

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

2564158070880 is a wasteful number, since it uses less digits than its factorization.

2564158070880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17321 (or 17304 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 2564158070880 in words is "two trillion, five hundred sixty-four billion, one hundred fifty-eight million, seventy thousand, eight hundred eighty".