2492764560 has 720 divisors, whose sum is σ = 10373336064. Its totient is φ = 532224000.

The previous prime is 2492764559. The next prime is 2492764577. The reversal of 2492764560 is 654672942.

2492764560 is a `hidden beast` number, since 2 + 4 + 9 + 27 + 64 + 560 = 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 (45).

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 143 ways as a sum of consecutive naturals, for example, 35109325 + ... + 35109395.

Almost surely, 2^2492764560 is an apocalyptic number.

2492764560 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 2492764560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186668032).

2492764560 is an abundant number, since it is smaller than the sum of its proper divisors (7880571504).

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

2492764560 is a wasteful number, since it uses less digits than its factorization.

2492764560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2492764560 is about 49927.5931725133. The cubic root of 2492764560 is about 1355.8982093951.

The spelling of 2492764560 in words is "two billion, four hundred ninety-two million, seven hundred sixty-four thousand, five hundred sixty".