2456526540 has 72 divisors (see below), whose sum is σ = 7448102928. Its totient is φ = 604680960.

The previous prime is 2456526497. The next prime is 2456526557. The reversal of 2456526540 is 456256542.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110991 + ... + 131270.

It is an arithmetic number, because the mean of its divisors is an integer number (103445874).

Almost surely, 2^2456526540 is an apocalyptic number.

2456526540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2456526540 is an abundant number, since it is smaller than the sum of its proper divisors (4991576388).

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

2456526540 is a wasteful number, since it uses less digits than its factorization.

2456526540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242299 (or 242284 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 2456526540 is about 49563.3588450178. The cubic root of 2456526540 is about 1349.2957533970.

The spelling of 2456526540 in words is "two billion, four hundred fifty-six million, five hundred twenty-six thousand, five hundred forty".