2629703113344 has 192 divisors, whose sum is σ = 8143730810280. Its totient is φ = 811479859200.

The previous prime is 2629703113339. The next prime is 2629703113391. The reversal of 2629703113344 is 4433113079262.

2629703113344 is a `hidden beast` number, since 2 + 6 + 297 + 0 + 3 + 1 + 13 + 344 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1348478337600 + 1281224775744 = 1161240^2 + 1131912^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2629703113344² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2629703113344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93984 + ... + 2295264.

Almost surely, 2^{2629703113344} is an apocalyptic number.

2629703113344 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 2629703113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071865405140).

2629703113344 is an abundant number, since it is smaller than the sum of its proper divisors (5514027696936).

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

2629703113344 is a wasteful number, since it uses less digits than its factorization.

2629703113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201379 (or 2201364 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 2629703113344 in words is "two trillion, six hundred twenty-nine billion, seven hundred three million, one hundred thirteen thousand, three hundred forty-four".