2492582400 has 720 divisors, whose sum is σ = 11160946368. Its totient is φ = 516096000.

The previous prime is 2492582383. The next prime is 2492582401. The reversal of 2492582400 is 42852942.

2492582400 is a `hidden beast` number, since 249 + 2 + 5 + 8 + 2 + 400 = 666.

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 not an unprimeable number, because it can be changed into a prime (2492582401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8870260 + ... + 8870540.

Almost surely, 2^2492582400 is an apocalyptic number.

2492582400 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 2492582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580473184).

2492582400 is an abundant number, since it is smaller than the sum of its proper divisors (8668363968).

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

2492582400 is a wasteful number, since it uses less digits than its factorization.

2492582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 309 counting only the distinct ones).

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

The square root of 2492582400 is about 49925.7688974341. The cubic root of 2492582400 is about 1355.8651809471.

The spelling of 2492582400 in words is "two billion, four hundred ninety-two million, five hundred eighty-two thousand, four hundred".