2569988371104 has 144 divisors (see below), whose sum is σ = 9111777030720. Its totient is φ = 667529441280.

The previous prime is 2569988371079. The next prime is 2569988371109. The reversal of 2569988371104 is 4011738899652.

2569988371104 is a `hidden beast` number, since 25 + 69 + 9 + 88 + 371 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2569988371109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57923089 + ... + 57967440.

It is an arithmetic number, because the mean of its divisors is an integer number (63276229380).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2569988371104 = 5139976742208, but 3⋅2569988371104 = 7709965113312 is not.

Almost surely, 2^{2569988371104} is an apocalyptic number.

2569988371104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2569988371104 is an abundant number, since it is smaller than the sum of its proper divisors (6541788659616).

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

2569988371104 is a wasteful number, since it uses less digits than its factorization.

2569988371104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115890563 (or 115890552 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 2569988371104 in words is "two trillion, five hundred sixty-nine billion, nine hundred eighty-eight million, three hundred seventy-one thousand, one hundred four".