2561879384064 has 3360 divisors, whose sum is σ = 11389749940800. Its totient is φ = 561842749440.

The previous prime is 2561879384059. The next prime is 2561879384089. The reversal of 2561879384064 is 4604839781652.

2561879384064 is a `hidden beast` number, since 2 + 5 + 61 + 87 + 93 + 8 + 406 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2561879383992 and 2561879384010.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 88340668402 + ... + 88340668430.

It is an arithmetic number, because the mean of its divisors is an integer number (3389806530).

It is a 1-persistent number, because it is pandigital, but 2⋅2561879384064 = 5123758768128 is not.

Almost surely, 2^{2561879384064} is an apocalyptic number.

2561879384064 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 2561879384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694874970400).

2561879384064 is an abundant number, since it is smaller than the sum of its proper divisors (8827870556736).

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

2561879384064 is a wasteful number, since it uses less digits than its factorization.

2561879384064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2561879384064 in words is "two trillion, five hundred sixty-one billion, eight hundred seventy-nine million, three hundred eighty-four thousand, sixty-four".