2121030400 has 108 divisors (see below), whose sum is σ = 5281769584. Its totient is φ = 843264000.

The previous prime is 2121030383. The next prime is 2121030419. The reversal of 2121030400 is 40301212.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1157485 + ... + 1159315.

Almost surely, 2^2121030400 is an apocalyptic number.

2121030400 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 2121030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640884792).

2121030400 is an abundant number, since it is smaller than the sum of its proper divisors (3160739184).

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

2121030400 is a wasteful number, since it uses less digits than its factorization.

2121030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2121030400 is about 46054.6458025681. The cubic root of 2121030400 is about 1284.8397504899.

Adding to 2121030400 its reverse (40301212), we get a palindrome (2161331612).

The spelling of 2121030400 in words is "two billion, one hundred twenty-one million, thirty thousand, four hundred".