2492920800 has 720 divisors, whose sum is σ = 10072605312. Its totient is φ = 597196800.

The previous prime is 2492920799. The next prime is 2492920813. The reversal of 2492920800 is 80292942.

2492920800 is a `hidden beast` number, since 2 + 492 + 92 + 0 + 80 + 0 = 666.

2492920800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×2492920800³ (a number of 29 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 34149564 + ... + 34149636.

Almost surely, 2^2492920800 is an apocalyptic number.

2492920800 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 2492920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036302656).

2492920800 is an abundant number, since it is smaller than the sum of its proper divisors (7579684512).

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

2492920800 is a wasteful number, since it uses less digits than its factorization.

2492920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2492920800 is about 49929.1578138466. The cubic root of 2492920800 is about 1355.9265368612.

The spelling of 2492920800 in words is "two billion, four hundred ninety-two million, nine hundred twenty thousand, eight hundred".