2033988864 has 144 divisors (see below), whose sum is σ = 5741514240. Its totient is φ = 638115840.

The previous prime is 2033988857. The next prime is 2033988883. The reversal of 2033988864 is 4688893302.

It is a super-3 number, since 3×2033988864³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 879742 + ... + 882050.

Almost surely, 2^2033988864 is an apocalyptic number.

2033988864 is a gapful number since it is divisible by the number (24) 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 2033988864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870757120).

2033988864 is an abundant number, since it is smaller than the sum of its proper divisors (3707525376).

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

2033988864 is a wasteful number, since it uses less digits than its factorization.

2033988864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 2033988864 is about 45099.7656756662. The cubic root of 2033988864 is about 1267.0182105817.

The spelling of 2033988864 in words is "two billion, thirty-three million, nine hundred eighty-eight thousand, eight hundred sixty-four".