2135366800 has 240 divisors, whose sum is σ = 6153352192. Its totient is φ = 696729600.

The previous prime is 2135366791. The next prime is 2135366801. The reversal of 2135366800 is 86635312.

It is not an unprimeable number, because it can be changed into a prime (2135366801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6336232 + ... + 6336568.

Almost surely, 2^2135366800 is an apocalyptic number.

2135366800 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 2135366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076676096).

2135366800 is an abundant number, since it is smaller than the sum of its proper divisors (4017985392).

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

2135366800 is a wasteful number, since it uses less digits than its factorization.

2135366800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2135366800 is about 46210.0292144465. The cubic root of 2135366800 is about 1287.7280684359.

The spelling of 2135366800 in words is "two billion, one hundred thirty-five million, three hundred sixty-six thousand, eight hundred".