2121600 has 192 divisors, whose sum is σ = 7968240. Its totient is φ = 491520.

The previous prime is 2121569. The next prime is 2121601. The reversal of 2121600 is 61212.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124792 + ... + 124808.

2^2121600 is an apocalyptic number.

2121600 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 2121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984120).

2121600 is an abundant number, since it is smaller than the sum of its proper divisors (5846640).

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

2121600 is a wasteful number, since it uses less digits than its factorization.

2121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2121600 is about 1456.5713164826. The cubic root of 2121600 is about 128.4954754219.

Adding to 2121600 its reverse (61212), we get a palindrome (2182812).

The spelling of 2121600 in words is "two million, one hundred twenty-one thousand, six hundred".