2083257792 has 560 divisors, whose sum is σ = 8178686208. Its totient is φ = 507617280.

The previous prime is 2083257791. The next prime is 2083257797. The reversal of 2083257792 is 2977523802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083257791) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6785703 + ... + 6786009.

Almost surely, 2^2083257792 is an apocalyptic number.

2083257792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089343104).

2083257792 is an abundant number, since it is smaller than the sum of its proper divisors (6095428416).

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

2083257792 is a wasteful number, since it uses less digits than its factorization.

2083257792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2083257792 is about 45642.7189374165. The cubic root of 2083257792 is about 1277.1669503263.

The spelling of 2083257792 in words is "two billion, eighty-three million, two hundred fifty-seven thousand, seven hundred ninety-two".