2583633648 has 40 divisors (see below), whose sum is σ = 6676879696. Its totient is φ = 860889600.

The previous prime is 2583633601. The next prime is 2583633691. The reversal of 2583633648 is 8463363852.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2583633597 and 2583633606.

It is a congruent number.

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, 144228 + ... + 161148.

Almost surely, 2^2583633648 is an apocalyptic number.

It is an amenable number.

2583633648 is an abundant number, since it is smaller than the sum of its proper divisors (4093246048).

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

2583633648 is a wasteful number, since it uses less digits than its factorization.

2583633648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20113 (or 20107 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The square root of 2583633648 is about 50829.4564991600. The cubic root of 2583633648 is about 1372.1775532581.

The spelling of 2583633648 in words is "two billion, five hundred eighty-three million, six hundred thirty-three thousand, six hundred forty-eight".