2121214400 has 84 divisors (see below), whose sum is σ = 5282729592. Its totient is φ = 838210560.

The previous prime is 2121214393. The next prime is 2121214409. The reversal of 2121214400 is 44121212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121214409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124814 + ... + 140786.

It is an arithmetic number, because the mean of its divisors is an integer number (62889638).

Almost surely, 2^2121214400 is an apocalyptic number.

2121214400 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 2121214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641364796).

2121214400 is an abundant number, since it is smaller than the sum of its proper divisors (3161515192).

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

2121214400 is a wasteful number, since it uses less digits than its factorization.

2121214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16078 (or 16063 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2121214400 is about 46056.6433861609. The cubic root of 2121214400 is about 1284.8769028221.

Adding to 2121214400 its reverse (44121212), we get a palindrome (2165335612).

The spelling of 2121214400 in words is "two billion, one hundred twenty-one million, two hundred fourteen thousand, four hundred".