2583732480 has 288 divisors, whose sum is σ = 9928934400. Its totient is φ = 559374336.

The previous prime is 2583732433. The next prime is 2583732491. The reversal of 2583732480 is 842373852.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508191 + ... + 513249.

Almost surely, 2^2583732480 is an apocalyptic number.

2583732480 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 2583732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964467200).

2583732480 is an abundant number, since it is smaller than the sum of its proper divisors (7345201920).

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

2583732480 is a wasteful number, since it uses less digits than its factorization.

2583732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 2583732480 is about 50830.4286820404. The cubic root of 2583732480 is about 1372.1950497174.

The spelling of 2583732480 in words is "two billion, five hundred eighty-three million, seven hundred thirty-two thousand, four hundred eighty".