2083696560 has 480 divisors, whose sum is σ = 8203403520. Its totient is φ = 468633600.

The previous prime is 2083696501. The next prime is 2083696561. The reversal of 2083696560 is 656963802.

It is a happy number.

2083696560 is a `hidden beast` number, since 2 + 0 + 83 + 6 + 9 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2083696561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9179167 + ... + 9179393.

It is an arithmetic number, because the mean of its divisors is an integer number (17090424).

Almost surely, 2^2083696560 is an apocalyptic number.

2083696560 is a gapful number since it is divisible by the number (20) 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 2083696560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101701760).

2083696560 is an abundant number, since it is smaller than the sum of its proper divisors (6119706960).

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

2083696560 is a wasteful number, since it uses less digits than its factorization.

2083696560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2083696560 is about 45647.5252341241. The cubic root of 2083696560 is about 1277.2566080815.

The spelling of 2083696560 in words is "two billion, eighty-three million, six hundred ninety-six thousand, five hundred sixty".