2083521312 has 96 divisors (see below), whose sum is σ = 6218372160. Its totient is φ = 678343680.

The previous prime is 2083521301. The next prime is 2083521331. The reversal of 2083521312 is 2131253802.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2083521312² = 8682122115116402688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9112 + ... + 65192.

It is an arithmetic number, because the mean of its divisors is an integer number (64774710).

Almost surely, 2^2083521312 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 2083521312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109186080).

2083521312 is an abundant number, since it is smaller than the sum of its proper divisors (4134850848).

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

2083521312 is a wasteful number, since it uses less digits than its factorization.

2083521312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56143 (or 56129 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2083521312 is about 45645.6056154368. The cubic root of 2083521312 is about 1277.2207994541.

The spelling of 2083521312 in words is "two billion, eighty-three million, five hundred twenty-one thousand, three hundred twelve".