2561870966640 has 320 divisors, whose sum is σ = 8274451829760. Its totient is φ = 654905180160.

The previous prime is 2561870966563. The next prime is 2561870966657. The reversal of 2561870966640 is 466690781652.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 592064157 + ... + 592068483.

It is an arithmetic number, because the mean of its divisors is an integer number (25857661968).

Almost surely, 2^{2561870966640} is an apocalyptic number.

2561870966640 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 2561870966640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137225914880).

2561870966640 is an abundant number, since it is smaller than the sum of its proper divisors (5712580863120).

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

2561870966640 is a wasteful number, since it uses less digits than its factorization.

2561870966640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 2561870966640 in words is "two trillion, five hundred sixty-one billion, eight hundred seventy million, nine hundred sixty-six thousand, six hundred forty".