2083953664 has 88 divisors (see below), whose sum is σ = 4608664928. Its totient is φ = 935608320.

The previous prime is 2083953661. The next prime is 2083953667. The reversal of 2083953664 is 4663593802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2083953661) and next prime (2083953667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083953661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490429 + ... + 494659.

Almost surely, 2^2083953664 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 2083953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304332464).

2083953664 is an abundant number, since it is smaller than the sum of its proper divisors (2524711264).

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

2083953664 is a wasteful number, since it uses less digits than its factorization.

2083953664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The square root of 2083953664 is about 45650.3413349780. The cubic root of 2083953664 is about 1277.3091388073.

The spelling of 2083953664 in words is "two billion, eighty-three million, nine hundred fifty-three thousand, six hundred sixty-four".