2083732992 has 320 divisors, whose sum is σ = 6858846720. Its totient is φ = 619315200.

The previous prime is 2083732967. The next prime is 2083732999. The reversal of 2083732992 is 2992373802.

2083732992 is a `hidden beast` number, since 208 + 37 + 329 + 92 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083732999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10796448 + ... + 10796640.

It is an arithmetic number, because the mean of its divisors is an integer number (21433896).

Almost surely, 2^2083732992 is an apocalyptic number.

2083732992 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 2083732992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429423360).

2083732992 is an abundant number, since it is smaller than the sum of its proper divisors (4775113728).

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

2083732992 is a wasteful number, since it uses less digits than its factorization.

2083732992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2083732992 is about 45647.9242901580. The cubic root of 2083732992 is about 1277.2640520223.

The spelling of 2083732992 in words is "two billion, eighty-three million, seven hundred thirty-two thousand, nine hundred ninety-two".