2492005680 has 240 divisors, whose sum is σ = 8690872320. Its totient is φ = 639244800.

The previous prime is 2492005669. The next prime is 2492005687. The reversal of 2492005680 is 865002942.

It is a happy number.

2492005680 is a `hidden beast` number, since 2 + 4 + 92 + 0 + 0 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (2492005687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6941341 + ... + 6941699.

It is an arithmetic number, because the mean of its divisors is an integer number (36211968).

Almost surely, 2^2492005680 is an apocalyptic number.

2492005680 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 2492005680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345436160).

2492005680 is an abundant number, since it is smaller than the sum of its proper divisors (6198866640).

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

2492005680 is a wasteful number, since it uses less digits than its factorization.

2492005680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2492005680 is about 49919.9927884610. The cubic root of 2492005680 is about 1355.7606020061.

The spelling of 2492005680 in words is "two billion, four hundred ninety-two million, five thousand, six hundred eighty".