2582989480 has 32 divisors (see below), whose sum is σ = 5813173800. Its totient is φ = 1032938496.

The previous prime is 2582989477. The next prime is 2582989529. The reversal of 2582989480 is 849892852.

2582989480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2329606756 + 253382724 = 48266^2 + 15918^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305956 + ... + 314284.

Almost surely, 2^2582989480 is an apocalyptic number.

2582989480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2582989480 is an abundant number, since it is smaller than the sum of its proper divisors (3230184320).

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

2582989480 is a wasteful number, since it uses less digits than its factorization.

2582989480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16093 (or 16089 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The square root of 2582989480 is about 50823.1195421926. The cubic root of 2582989480 is about 1372.0635037628.

The spelling of 2582989480 in words is "two billion, five hundred eighty-two million, nine hundred eighty-nine thousand, four hundred eighty".