2135164700 has 72 divisors (see below), whose sum is σ = 4725260064. Its totient is φ = 837216000.

The previous prime is 2135164673. The next prime is 2135164709. The reversal of 2135164700 is 74615312.

It is a super-2 number, since 2×2135164700² = 9117856592252180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135164709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3299777 + ... + 3300423.

It is an arithmetic number, because the mean of its divisors is an integer number (65628612).

Almost surely, 2^2135164700 is an apocalyptic number.

2135164700 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 2135164700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362630032).

2135164700 is an abundant number, since it is smaller than the sum of its proper divisors (2590095364).

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

2135164700 is a wasteful number, since it uses less digits than its factorization.

2135164700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1256 counting only the distinct ones).

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

The square root of 2135164700 is about 46207.8424079723. The cubic root of 2135164700 is about 1287.6874418398.

The spelling of 2135164700 in words is "two billion, one hundred thirty-five million, one hundred sixty-four thousand, seven hundred".