2571997075344 has 120 divisors (see below), whose sum is σ = 7376863522392. Its totient is φ = 836049469440.

The previous prime is 2571997075313. The next prime is 2571997075357. The reversal of 2571997075344 is 4435707991752.

2571997075344 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 9 + 97 + 0 + 7 + 534 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 539695929600 + 2032301145744 = 734640^2 + 1425588^2 .

It is a super-2 number, since 2×2571997075344² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13323964 + ... + 13515620.

Almost surely, 2^{2571997075344} is an apocalyptic number.

2571997075344 is a gapful number since it is divisible by the number (24) 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 2571997075344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688431761196).

2571997075344 is an abundant number, since it is smaller than the sum of its proper divisors (4804866447048).

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

2571997075344 is a wasteful number, since it uses less digits than its factorization.

2571997075344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193985 (or 193976 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 2571997075344 in words is "two trillion, five hundred seventy-one billion, nine hundred ninety-seven million, seventy-five thousand, three hundred forty-four".