2612905132293 has 80 divisors (see below), whose sum is σ = 4015514131200. Its totient is φ = 1692391169664.

The previous prime is 2612905132259. The next prime is 2612905132309. The reversal of 2612905132293 is 3922315092162.

2612905132293 is a `hidden beast` number, since 2 + 6 + 1 + 29 + 0 + 513 + 22 + 93 = 666.

It is not a de Polignac number, because 2612905132293 - 2³⁷ = 2475466178821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612905132213) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1164914230 + ... + 1164916472.

It is an arithmetic number, because the mean of its divisors is an integer number (50193926640).

Almost surely, 2^{2612905132293} is an apocalyptic number.

It is an amenable number.

2612905132293 is a deficient number, since it is larger than the sum of its proper divisors (1402608998907).

2612905132293 is a wasteful number, since it uses less digits than its factorization.

2612905132293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 2612905132293 in words is "two trillion, six hundred twelve billion, nine hundred five million, one hundred thirty-two thousand, two hundred ninety-three".