2400583680 has 432 divisors, whose sum is σ = 9323902224. Its totient is φ = 566231040.

The previous prime is 2400583657. The next prime is 2400583687. The reversal of 2400583680 is 863850042.

2400583680 is a `hidden beast` number, since 240 + 0 + 58 + 368 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400583687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64880622 + ... + 64880658.

It is an arithmetic number, because the mean of its divisors is an integer number (21583107).

Almost surely, 2^2400583680 is an apocalyptic number.

2400583680 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 2400583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661951112).

2400583680 is an abundant number, since it is smaller than the sum of its proper divisors (6923318544).

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

2400583680 is an equidigital number, since it uses as much as digits as its factorization.

2400583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2400583680 is about 48995.7516525668. The cubic root of 2400583680 is about 1338.9744287624.

The spelling of 2400583680 in words is "two billion, four hundred million, five hundred eighty-three thousand, six hundred eighty".