2583280920 has 64 divisors (see below), whose sum is σ = 8454378240. Its totient is φ = 626249600.

The previous prime is 2583280913. The next prime is 2583280927. The reversal of 2583280920 is 290823852.

It is an interprime number because it is at equal distance from previous prime (2583280913) and next prime (2583280927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583280927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977196 + ... + 979835.

It is an arithmetic number, because the mean of its divisors is an integer number (132099660).

Almost surely, 2^2583280920 is an apocalyptic number.

2583280920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2583280920 is an abundant number, since it is smaller than the sum of its proper divisors (5871097320).

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

2583280920 is a wasteful number, since it uses less digits than its factorization.

2583280920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957056 (or 1957052 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2583280920 is about 50825.9866603689. The cubic root of 2583280920 is about 1372.1151053601.

The spelling of 2583280920 in words is "two billion, five hundred eighty-three million, two hundred eighty thousand, nine hundred twenty".