2564086032720 has 400 divisors, whose sum is σ = 9439743973968. Its totient is φ = 642822635520.

The previous prime is 2564086032713. The next prime is 2564086032733. The reversal of 2564086032720 is 272306804652.

2564086032720 is a `hidden beast` number, since 2 + 564 + 0 + 8 + 60 + 3 + 2 + 7 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 510241633344 + 2053844399376 = 714312^2 + 1433124^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103207500 + ... + 103232340.

Almost surely, 2^{2564086032720} is an apocalyptic number.

2564086032720 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 2564086032720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719871986984).

2564086032720 is an abundant number, since it is smaller than the sum of its proper divisors (6875657941248).

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

2564086032720 is a wasteful number, since it uses less digits than its factorization.

2564086032720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25820 (or 25805 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2564086032720 in words is "two trillion, five hundred sixty-four billion, eighty-six million, thirty-two thousand, seven hundred twenty".