2121827400 has 720 divisors, whose sum is σ = 9390403440. Its totient is φ = 440899200.

The previous prime is 2121827377. The next prime is 2121827437. The reversal of 2121827400 is 47281212.

2121827400 is a `hidden beast` number, since 21 + 218 + 27 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 192893395 + ... + 192893405.

It is an arithmetic number, because the mean of its divisors is an integer number (13042227).

Almost surely, 2^2121827400 is an apocalyptic number.

2121827400 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 2121827400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695201720).

2121827400 is an abundant number, since it is smaller than the sum of its proper divisors (7268576040).

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

2121827400 is an equidigital number, since it uses as much as digits as its factorization.

2121827400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2121827400 is about 46063.2977542859. The cubic root of 2121827400 is about 1285.0006611250. Note that the first 3 decimals are identical.

The spelling of 2121827400 in words is "two billion, one hundred twenty-one million, eight hundred twenty-seven thousand, four hundred".