2713838690400 has 144 divisors (see below), whose sum is σ = 8870507251200. Its totient is φ = 720662172160.

The previous prime is 2713838690393. The next prime is 2713838690417. The reversal of 2713838690400 is 40968383172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1792020 + ... + 2939219.

It is an arithmetic number, because the mean of its divisors is an integer number (61600744800).

Almost surely, 2^{2713838690400} is an apocalyptic number.

2713838690400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2713838690400 is an abundant number, since it is smaller than the sum of its proper divisors (6156668560800).

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

2713838690400 is a wasteful number, since it uses less digits than its factorization.

2713838690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731501 (or 4731488 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 2713838690400 in words is "two trillion, seven hundred thirteen billion, eight hundred thirty-eight million, six hundred ninety thousand, four hundred".