2121292800 has 792 divisors, whose sum is σ = 8869765632. Its totient is φ = 497664000.

The previous prime is 2121292787. The next prime is 2121292889. The reversal of 2121292800 is 82921212.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68428785 + ... + 68428815.

Almost surely, 2^2121292800 is an apocalyptic number.

2121292800 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 2121292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434882816).

2121292800 is an abundant number, since it is smaller than the sum of its proper divisors (6748472832).

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

2121292800 is a wasteful number, since it uses less digits than its factorization.

2121292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2121292800 is about 46057.4945041521. The cubic root of 2121292800 is about 1284.8927322935.

The spelling of 2121292800 in words is "two billion, one hundred twenty-one million, two hundred ninety-two thousand, eight hundred".