2083076400 has 240 divisors, whose sum is σ = 7073575040. Its totient is φ = 522547200.

The previous prime is 2083076399. The next prime is 2083076407. The reversal of 2083076400 is 46703802.

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 (30).

It is not an unprimeable number, because it can be changed into a prime (2083076407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4810584 + ... + 4811016.

Almost surely, 2^2083076400 is an apocalyptic number.

2083076400 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 2083076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536787520).

2083076400 is an abundant number, since it is smaller than the sum of its proper divisors (4990498640).

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

2083076400 is a wasteful number, since it uses less digits than its factorization.

2083076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2083076400 is about 45640.7318083310. The cubic root of 2083076400 is about 1277.1298810475.

The spelling of 2083076400 in words is "two billion, eighty-three million, seventy-six thousand, four hundred".