2136800 has 36 divisors (see below), whose sum is σ = 5218416. Its totient is φ = 854400.

The previous prime is 2136793. The next prime is 2136811. The reversal of 2136800 is 86312.

2136800 = T₂₆₇ + T₂₆₈ + ... + T₃₁₆.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 536 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (144956).

2^2136800 is an apocalyptic number.

2136800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2136800 is an abundant number, since it is smaller than the sum of its proper divisors (3081616).

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

2136800 is a wasteful number, since it uses less digits than its factorization.

2136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2136800 is about 1461.7797371697. The cubic root of 2136800 is about 128.8016100001.

The spelling of 2136800 in words is "two million, one hundred thirty-six thousand, eight hundred".