2162400 has 144 divisors (see below), whose sum is σ = 7593264. Its totient is φ = 532480.

The previous prime is 2162393. The next prime is 2162401. The reversal of 2162400 is 42612.

2162400 is nontrivially palindromic in base 7.

2162400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2162400³ = 30333976975872000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2162400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40774 + ... + 40826.

It is an arithmetic number, because the mean of its divisors is an integer number (52731).

2^2162400 is an apocalyptic number.

2162400 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 2162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796632).

2162400 is an abundant number, since it is smaller than the sum of its proper divisors (5430864).

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

2162400 is a wasteful number, since it uses less digits than its factorization.

2162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2162400 is about 1470.5101155721. The cubic root of 2162400 is about 129.3139400073.

It can be divided in two parts, 216 and 2400, that multiplied together give a square (518400 = 720²).

The spelling of 2162400 in words is "two million, one hundred sixty-two thousand, four hundred".