2083536960 has 112 divisors (see below), whose sum is σ = 6963460800. Its totient is φ = 526362624.

The previous prime is 2083536953. The next prime is 2083536967. The reversal of 2083536960 is 696353802.

It is an interprime number because it is at equal distance from previous prime (2083536953) and next prime (2083536967).

It is a super-2 number, since 2×2083536960² = 8682252527372083200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2083536967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38875 + ... + 75354.

Almost surely, 2^2083536960 is an apocalyptic number.

2083536960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2083536960 is an abundant number, since it is smaller than the sum of its proper divisors (4879923840).

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

2083536960 is a wasteful number, since it uses less digits than its factorization.

2083536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114268 (or 114258 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2083536960 is about 45645.7770226338. Note that the first 3 decimals coincide. The cubic root of 2083536960 is about 1277.2239969097.

The spelling of 2083536960 in words is "two billion, eighty-three million, five hundred thirty-six thousand, nine hundred sixty".