2682716400 has 720 divisors, whose sum is σ = 12089226240. Its totient is φ = 534988800.

The previous prime is 2682716383. The next prime is 2682716417. The reversal of 2682716400 is 46172862.

2682716400 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 7 + 1 + 640 + 0 = 666.

2682716400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2682716383) and next prime (2682716417).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6224185 + ... + 6224615.

It is an arithmetic number, because the mean of its divisors is an integer number (16790592).

Almost surely, 2^2682716400 is an apocalyptic number.

2682716400 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 2682716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044613120).

2682716400 is an abundant number, since it is smaller than the sum of its proper divisors (9406509840).

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

2682716400 is a wasteful number, since it uses less digits than its factorization.

2682716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2682716400 is about 51794.9456993634. The cubic root of 2682716400 is about 1389.4990517516.

The spelling of 2682716400 in words is "two billion, six hundred eighty-two million, seven hundred sixteen thousand, four hundred".