2116400 has 120 divisors (see below), whose sum is σ = 6135024. Its totient is φ = 691200.

The previous prime is 2116397. The next prime is 2116403. The reversal of 2116400 is 46112.

It is an interprime number because it is at equal distance from previous prime (2116397) and next prime (2116403).

It is not an unprimeable number, because it can be changed into a prime (2116403) by changing a digit.

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, 57182 + ... + 57218.

2^2116400 is an apocalyptic number.

2116400 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 2116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067512).

2116400 is an abundant number, since it is smaller than the sum of its proper divisors (4018624).

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

2116400 is a wasteful number, since it uses less digits than its factorization.

2116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2116400 is about 1454.7852075135. The cubic root of 2116400 is about 128.3904095734.

It can be divided in two parts, 2116 and 400, that multiplied together give a square (846400 = 920²).

The spelling of 2116400 in words is "two million, one hundred sixteen thousand, four hundred".