2713937990400 has 3888 divisors, whose sum is σ = 13606899415200. Its totient is φ = 508333916160.

The previous prime is 2713937990339. The next prime is 2713937990431. The reversal of 2713937990400 is 40997393172.

2713937990400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11851257486 + ... + 11851257714.

Almost surely, 2^{2713937990400} is an apocalyptic number.

2713937990400 is a gapful number since it is divisible by the number (20) 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 2713937990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803449707600).

2713937990400 is an abundant number, since it is smaller than the sum of its proper divisors (10892961424800).

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

2713937990400 is a wasteful number, since it uses less digits than its factorization.

2713937990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 2713937990400 in words is "two trillion, seven hundred thirteen billion, nine hundred thirty-seven million, nine hundred ninety thousand, four hundred".