2525556480 has 144 divisors (see below), whose sum is σ = 8094436224. Its totient is φ = 671109120.

The previous prime is 2525556463. The next prime is 2525556493. The reversal of 2525556480 is 846555252.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1270047 + ... + 1272033.

Almost surely, 2^2525556480 is an apocalyptic number.

2525556480 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 2525556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047218112).

2525556480 is an abundant number, since it is smaller than the sum of its proper divisors (5568879744).

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

2525556480 is a wasteful number, since it uses less digits than its factorization.

2525556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The square root of 2525556480 is about 50254.9149835118. The cubic root of 2525556480 is about 1361.8178689142.

The spelling of 2525556480 in words is "two billion, five hundred twenty-five million, five hundred fifty-six thousand, four hundred eighty".