2210421830400 has 1620 divisors, whose sum is σ = 9581259541392. Its totient is φ = 501320171520.

The previous prime is 2210421830369. The next prime is 2210421830413. The reversal of 2210421830400 is 40381240122.

2210421830400 is a `hidden beast` number, since 2 + 2 + 10 + 4 + 218 + 30 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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, 4394476549 + ... + 4394477051.

Almost surely, 2^{2210421830400} is an apocalyptic number.

2210421830400 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 2210421830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790629770696).

2210421830400 is an abundant number, since it is smaller than the sum of its proper divisors (7370837710992).

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

2210421830400 is a wasteful number, since it uses less digits than its factorization.

2210421830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 2210421830400 in words is "two trillion, two hundred ten billion, four hundred twenty-one million, eight hundred thirty thousand, four hundred".