2156400 has 90 divisors (see below), whose sum is σ = 7495800. Its totient is φ = 574080.

The previous prime is 2156393. The next prime is 2156417. The reversal of 2156400 is 46512.

It is a happy number.

2156400 is a `hidden beast` number, since 21 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3301 + ... + 3899.

2^2156400 is an apocalyptic number.

2156400 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 2156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747900).

2156400 is an abundant number, since it is smaller than the sum of its proper divisors (5339400).

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

2156400 is a wasteful number, since it uses less digits than its factorization.

2156400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 609 counting only the distinct ones).

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

The square root of 2156400 is about 1468.4685900625. The cubic root of 2156400 is about 129.1942269783.

It can be divided in two parts, 2156 and 400, that added together give a triangular number (2556 = T₇₁).

The spelling of 2156400 in words is "two million, one hundred fifty-six thousand, four hundred".