2593688249664 has 168 divisors, whose sum is σ = 7506833368320. Its totient is φ = 856159948800.

The previous prime is 2593688249657. The next prime is 2593688249689. The reversal of 2593688249664 is 4669428863952.

2593688249664 is a `hidden beast` number, since 2 + 59 + 3 + 6 + 8 + 82 + 496 + 6 + 4 = 666.

It is a super-2 number, since 2×2593688249664² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2593688249592 and 2593688249601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36107544 + ... + 36179304.

Almost surely, 2^{2593688249664} is an apocalyptic number.

2593688249664 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 2593688249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753416684160).

2593688249664 is an abundant number, since it is smaller than the sum of its proper divisors (4913145118656).

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

2593688249664 is a wasteful number, since it uses less digits than its factorization.

2593688249664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72389 (or 72376 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 2593688249664 in words is "two trillion, five hundred ninety-three billion, six hundred eighty-eight million, two hundred forty-nine thousand, six hundred sixty-four".