2583838532 has 48 divisors (see below), whose sum is σ = 5124518784. Its totient is φ = 1129632000.

The previous prime is 2583838511. The next prime is 2583838547. The reversal of 2583838532 is 2358383852.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117998 + ... + 138170.

It is an arithmetic number, because the mean of its divisors is an integer number (106760808).

Almost surely, 2^2583838532 is an apocalyptic number.

2583838532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2583838532 is a deficient number, since it is larger than the sum of its proper divisors (2540680252).

2583838532 is a wasteful number, since it uses less digits than its factorization.

2583838532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20300 (or 20298 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 47.

The square root of 2583838532 is about 50831.4718653710. The cubic root of 2583838532 is about 1372.2138238539.

The spelling of 2583838532 in words is "two billion, five hundred eighty-three million, eight hundred thirty-eight thousand, five hundred thirty-two".