2083579472 has 80 divisors (see below), whose sum is σ = 4540074000. Its totient is φ = 919683072.

The previous prime is 2083579469. The next prime is 2083579493. The reversal of 2083579472 is 2749753802.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19149376 + 2064430096 = 4376^2 + 45436^2 .

It is a super-2 number, since 2×2083579472² = 8682606832279597568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655904 + ... + 659072.

It is an arithmetic number, because the mean of its divisors is an integer number (56750925).

Almost surely, 2^2083579472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083579472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270037000).

2083579472 is an abundant number, since it is smaller than the sum of its proper divisors (2456494528).

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

2083579472 is a wasteful number, since it uses less digits than its factorization.

2083579472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The square root of 2083579472 is about 45646.2426931286. The cubic root of 2083579472 is about 1277.2326835770.

The spelling of 2083579472 in words is "two billion, eighty-three million, five hundred seventy-nine thousand, four hundred seventy-two".