2493134835744 has 96 divisors (see below), whose sum is σ = 7480018465920. Its totient is φ = 712265766912.

The previous prime is 2493134835713. The next prime is 2493134835761. The reversal of 2493134835744 is 4475384313942.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8397222 + ... + 8689050.

It is an arithmetic number, because the mean of its divisors is an integer number (77916859020).

Almost surely, 2^{2493134835744} is an apocalyptic number.

2493134835744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2493134835744 is an abundant number, since it is smaller than the sum of its proper divisors (4986883630176).

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

2493134835744 is a wasteful number, since it uses less digits than its factorization.

2493134835744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304562 (or 304554 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 57.

The spelling of 2493134835744 in words is "two trillion, four hundred ninety-three billion, one hundred thirty-four million, eight hundred thirty-five thousand, seven hundred forty-four".