2591616338640 has 1200 divisors, whose sum is σ = 11240128188432. Its totient is φ = 549803261952.

The previous prime is 2591616338639. The next prime is 2591616338669. The reversal of 2591616338640 is 468336161952.

2591616338640 is a `hidden beast` number, since 2 + 5 + 9 + 161 + 63 + 386 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 498582858816 + 2093033479824 = 706104^2 + 1446732^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 394039032 + ... + 394045608.

Almost surely, 2^{2591616338640} is an apocalyptic number.

2591616338640 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 2591616338640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620064094216).

2591616338640 is an abundant number, since it is smaller than the sum of its proper divisors (8648511849792).

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

2591616338640 is a wasteful number, since it uses less digits than its factorization.

2591616338640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2591616338640 in words is "two trillion, five hundred ninety-one billion, six hundred sixteen million, three hundred thirty-eight thousand, six hundred forty".