2582146480 has 20 divisors (see below), whose sum is σ = 6003490752. Its totient is φ = 1032858560.

The previous prime is 2582146477. The next prime is 2582146481. The reversal of 2582146480 is 846412852.

It is a happy number.

2582146480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2582146481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16138336 + ... + 16138495.

Almost surely, 2^2582146480 is an apocalyptic number.

2582146480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2582146480 is an abundant number, since it is smaller than the sum of its proper divisors (3421344272).

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

2582146480 is a wasteful number, since it uses less digits than its factorization.

2582146480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32276844 (or 32276838 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 2582146480 is about 50814.8253957445. The cubic root of 2582146480 is about 1371.9142225525.

The spelling of 2582146480 in words is "two billion, five hundred eighty-two million, one hundred forty-six thousand, four hundred eighty".