2083638816 has 240 divisors, whose sum is σ = 7309298304. Its totient is φ = 569327616.

The previous prime is 2083638731. The next prime is 2083638833. The reversal of 2083638816 is 6188363802.

2083638816 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 638 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 414816 + ... + 419808.

Almost surely, 2^2083638816 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 2083638816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654649152).

2083638816 is an abundant number, since it is smaller than the sum of its proper divisors (5225659488).

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

2083638816 is a wasteful number, since it uses less digits than its factorization.

2083638816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2083638816 is about 45646.8927310502. The cubic root of 2083638816 is about 1277.2448094047.

The spelling of 2083638816 in words is "two billion, eighty-three million, six hundred thirty-eight thousand, eight hundred sixteen".