2492000640 has 320 divisors, whose sum is σ = 9077294160. Its totient is φ = 651276288.

The previous prime is 2492000633. The next prime is 2492000657. The reversal of 2492000640 is 460002942.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2747067 + ... + 2747973.

Almost surely, 2^2492000640 is an apocalyptic number.

2492000640 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 2492000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538647080).

2492000640 is an abundant number, since it is smaller than the sum of its proper divisors (6585293520).

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

2492000640 is an equidigital number, since it uses as much as digits as its factorization.

2492000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2492000640 is about 49919.9423076590. The cubic root of 2492000640 is about 1355.7596880117.

The spelling of 2492000640 in words is "two billion, four hundred ninety-two million, six hundred forty", and thus it is an aban number.