2716400 has 30 divisors (see below), whose sum is σ = 6527112. Its totient is φ = 1086400.

The previous prime is 2716397. The next prime is 2716423. The reversal of 2716400 is 46172.

2716400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2996 + ... + 3795.

2^2716400 is an apocalyptic number.

2716400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2716400 is an abundant number, since it is smaller than the sum of its proper divisors (3810712).

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

2716400 is a wasteful number, since it uses less digits than its factorization.

2716400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2716400 is about 1648.1504785668. The cubic root of 2716400 is about 139.5290296424.

The spelling of 2716400 in words is "two million, seven hundred sixteen thousand, four hundred".