2584760640 has 448 divisors, whose sum is σ = 10393436160. Its totient is φ = 528629760.

The previous prime is 2584760621. The next prime is 2584760669. The reversal of 2584760640 is 460674852.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 2584760592 and 2584760601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5395921 + ... + 5396399.

Almost surely, 2^2584760640 is an apocalyptic number.

2584760640 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 2584760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196718080).

2584760640 is an abundant number, since it is smaller than the sum of its proper divisors (7808675520).

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

2584760640 is a wasteful number, since it uses less digits than its factorization.

2584760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

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

The square root of 2584760640 is about 50840.5413031765. The cubic root of 2584760640 is about 1372.3770408193.

The spelling of 2584760640 in words is "two billion, five hundred eighty-four million, seven hundred sixty thousand, six hundred forty".