2133758000 has 80 divisors (see below), whose sum is σ = 5628523680. Its totient is φ = 775904000.

The previous prime is 2133757987. The next prime is 2133758041. The reversal of 2133758000 is 8573312.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26495 + ... + 70494.

It is an arithmetic number, because the mean of its divisors is an integer number (70356546).

Almost surely, 2^2133758000 is an apocalyptic number.

2133758000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133758000 is an abundant number, since it is smaller than the sum of its proper divisors (3494765680).

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

2133758000 is a wasteful number, since it uses less digits than its factorization.

2133758000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97023 (or 97007 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2133758000 is about 46192.6184579311. The cubic root of 2133758000 is about 1287.4045927983.

The spelling of 2133758000 in words is "two billion, one hundred thirty-three million, seven hundred fifty-eight thousand".