2120400 has 180 divisors, whose sum is σ = 7995520. Its totient is φ = 518400.

The previous prime is 2120387. The next prime is 2120411. The reversal of 2120400 is 40212.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68385 + ... + 68415.

2^2120400 is an apocalyptic number.

2120400 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 2120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997760).

2120400 is an abundant number, since it is smaller than the sum of its proper divisors (5875120).

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

2120400 is a wasteful number, since it uses less digits than its factorization.

2120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2120400 is about 1456.1593319414. The cubic root of 2120400 is about 128.4712447075.

Adding to 2120400 its reverse (40212), we get a palindrome (2160612).

The spelling of 2120400 in words is "two million, one hundred twenty thousand, four hundred".