2121403200 has 336 divisors, whose sum is σ = 8375416320. Its totient is φ = 459233280.

The previous prime is 2121403187. The next prime is 2121403211. The reversal of 2121403200 is 23041212.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2121403200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636739 + ... + 640061.

Almost surely, 2^2121403200 is an apocalyptic number.

2121403200 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 2121403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187708160).

2121403200 is an abundant number, since it is smaller than the sum of its proper divisors (6254013120).

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

2121403200 is a wasteful number, since it uses less digits than its factorization.

2121403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2121403200 is about 46058.6929905745. The cubic root of 2121403200 is about 1284.9150221124.

Adding to 2121403200 its reverse (23041212), we get a palindrome (2144444412).

The spelling of 2121403200 in words is "two billion, one hundred twenty-one million, four hundred three thousand, two hundred".