2165400 has 96 divisors (see below), whose sum is σ = 7477200. Its totient is φ = 576000.

The previous prime is 2165393. The next prime is 2165413. The reversal of 2165400 is 45612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5200 + ... + 5600.

2^2165400 is an apocalyptic number.

2165400 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 2165400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738600).

2165400 is an abundant number, since it is smaller than the sum of its proper divisors (5311800).

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

2165400 is a wasteful number, since it uses less digits than its factorization.

2165400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2165400 is about 1471.5298162117. The cubic root of 2165400 is about 129.3737134928.

It can be divided in two parts, 216 and 5400, that multiplied together give a square (1166400 = 1080²).

The spelling of 2165400 in words is "two million, one hundred sixty-five thousand, four hundred".