2713304400 has 240 divisors, whose sum is σ = 8945879808. Its totient is φ = 702720000.

The previous prime is 2713304393. The next prime is 2713304423. The reversal of 2713304400 is 44033172.

2713304400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7393017 + ... + 7393383.

Almost surely, 2^2713304400 is an apocalyptic number.

2713304400 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 2713304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472939904).

2713304400 is an abundant number, since it is smaller than the sum of its proper divisors (6232575408).

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

2713304400 is a wasteful number, since it uses less digits than its factorization.

2713304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2713304400 is about 52089.3885546759. The cubic root of 2713304400 is about 1394.7600723017.

Adding to 2713304400 its reverse (44033172), we get a palindrome (2757337572).

The spelling of 2713304400 in words is "two billion, seven hundred thirteen million, three hundred four thousand, four hundred".