2553456520 has 32 divisors (see below), whose sum is σ = 5801065920. Its totient is φ = 1011464640.

The previous prime is 2553456473. The next prime is 2553456533. The reversal of 2553456520 is 256543552.

It is a self number, because there is not a number n which added to its sum of digits gives 2553456520.

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 7 ways as a sum of consecutive naturals, for example, 305766 + ... + 314005.

It is an arithmetic number, because the mean of its divisors is an integer number (181283310).

Almost surely, 2^2553456520 is an apocalyptic number.

2553456520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553456520 is an abundant number, since it is smaller than the sum of its proper divisors (3247609400).

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

2553456520 is a wasteful number, since it uses less digits than its factorization.

2553456520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619885 (or 619881 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 37.

The square root of 2553456520 is about 50531.7377496559. The cubic root of 2553456520 is about 1366.8142218897.

The spelling of 2553456520 in words is "two billion, five hundred fifty-three million, four hundred fifty-six thousand, five hundred twenty".