2121329600 has 84 divisors (see below), whose sum is σ = 5621374584. Its totient is φ = 783252480.

The previous prime is 2121329591. The next prime is 2121329653. The reversal of 2121329600 is 69231212.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2121329600.

It is a congruent number.

It is an unprimeable number.

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, 30194 + ... + 71793.

It is an arithmetic number, because the mean of its divisors is an integer number (66921126).

Almost surely, 2^2121329600 is an apocalyptic number.

2121329600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121329600 is an abundant number, since it is smaller than the sum of its proper divisors (3500044984).

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

2121329600 is a wasteful number, since it uses less digits than its factorization.

2121329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102022 (or 102007 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2121329600 is about 46057.8940030914. The cubic root of 2121329600 is about 1284.9001623191.

The spelling of 2121329600 in words is "two billion, one hundred twenty-one million, three hundred twenty-nine thousand, six hundred".