2456528720 has 40 divisors (see below), whose sum is σ = 5808244320. Its totient is φ = 965955200.

The previous prime is 2456528707. The next prime is 2456528729. The reversal of 2456528720 is 278256542.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456528729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255506 + ... + 264945.

It is an arithmetic number, because the mean of its divisors is an integer number (145206108).

Almost surely, 2^2456528720 is an apocalyptic number.

2456528720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2456528720 is an abundant number, since it is smaller than the sum of its proper divisors (3351715600).

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

2456528720 is a wasteful number, since it uses less digits than its factorization.

2456528720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520523 (or 520517 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The square root of 2456528720 is about 49563.3808370656. The cubic root of 2456528720 is about 1349.2961525329.

The spelling of 2456528720 in words is "two billion, four hundred fifty-six million, five hundred twenty-eight thousand, seven hundred twenty".