2569340196864 has 576 divisors, whose sum is σ = 8894827468800. Its totient is φ = 725761327104.

The previous prime is 2569340196859. The next prime is 2569340196901. The reversal of 2569340196864 is 4686910439652.

2569340196864 is a `hidden beast` number, since 2 + 5 + 69 + 3 + 401 + 96 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2569340196864² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310040529 + ... + 310048815.

It is an arithmetic number, because the mean of its divisors is an integer number (15442408800).

Almost surely, 2^{2569340196864} is an apocalyptic number.

2569340196864 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 2569340196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447413734400).

2569340196864 is an abundant number, since it is smaller than the sum of its proper divisors (6325487271936).

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

2569340196864 is an frugal number, since it uses more digits than its factorization.

2569340196864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8420 (or 8388 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 2569340196864 in words is "two trillion, five hundred sixty-nine billion, three hundred forty million, one hundred ninety-six thousand, eight hundred sixty-four".