2690359634144 has 432 divisors, whose sum is σ = 6781082948640. Its totient is φ = 1047045242880.

The previous prime is 2690359634087. The next prime is 2690359634167. The reversal of 2690359634144 is 4414369530962.

It is a super-2 number, since 2×2690359634144² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2690359634144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6577896212 + ... + 6577896620.

It is an arithmetic number, because the mean of its divisors is an integer number (15696951270).

Almost surely, 2^{2690359634144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2690359634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390541474320).

2690359634144 is an abundant number, since it is smaller than the sum of its proper divisors (4090723314496).

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

2690359634144 is a wasteful number, since it uses less digits than its factorization.

2690359634144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 56.

The spelling of 2690359634144 in words is "two trillion, six hundred ninety billion, three hundred fifty-nine million, six hundred thirty-four thousand, one hundred forty-four".