2492715456 has 672 divisors, whose sum is σ = 9636556800. Its totient is φ = 609638400.

The previous prime is 2492715443. The next prime is 2492715497. The reversal of 2492715456 is 6545172942.

2492715456 is a `hidden beast` number, since 2 + 492 + 7 + 154 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67370670 + ... + 67370706.

Almost surely, 2^2492715456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2492715456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818278400).

2492715456 is an abundant number, since it is smaller than the sum of its proper divisors (7143841344).

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

2492715456 is a wasteful number, since it uses less digits than its factorization.

2492715456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 2492715456 is about 49927.1014179674. The cubic root of 2492715456 is about 1355.8893062328.

The spelling of 2492715456 in words is "two billion, four hundred ninety-two million, seven hundred fifteen thousand, four hundred fifty-six".