2571360464640 has 1152 divisors, whose sum is σ = 9854369280000. Its totient is φ = 564343603200.

The previous prime is 2571360464611. The next prime is 2571360464689. The reversal of 2571360464640 is 464640631752.

It is a super-2 number, since 2×2571360464640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2571360464640.

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, 2058734736 + ... + 2058735984.

It is an arithmetic number, because the mean of its divisors is an integer number (8554140000).

Almost surely, 2^{2571360464640} is an apocalyptic number.

2571360464640 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 2571360464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927184640000).

2571360464640 is an abundant number, since it is smaller than the sum of its proper divisors (7283008815360).

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

2571360464640 is a wasteful number, since it uses less digits than its factorization.

2571360464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 2571360464640 in words is "two trillion, five hundred seventy-one billion, three hundred sixty million, four hundred sixty-four thousand, six hundred forty".