2425708800 has 324 divisors, whose sum is σ = 9054462144. Its totient is φ = 618393600.

The previous prime is 2425708783. The next prime is 2425708811. The reversal of 2425708800 is 88075242.

It is a happy number.

2425708800 is a `hidden beast` number, since 2 + 4 + 2 + 570 + 8 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1323885 + ... + 1325715.

Almost surely, 2^2425708800 is an apocalyptic number.

2425708800 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 2425708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527231072).

2425708800 is an abundant number, since it is smaller than the sum of its proper divisors (6628753344).

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

2425708800 is a wasteful number, since it uses less digits than its factorization.

2425708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2425708800 is about 49251.4852567920. The cubic root of 2425708800 is about 1343.6295747858.

The spelling of 2425708800 in words is "two billion, four hundred twenty-five million, seven hundred eight thousand, eight hundred".