2212400030400 has 1008 divisors, whose sum is σ = 9312812870400. Its totient is φ = 487671275520.

The previous prime is 2212400030381. The next prime is 2212400030441. The reversal of 2212400030400 is 40300042122.

2212400030400 is a `hidden beast` number, since 2 + 21 + 240 + 0 + 0 + 3 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315198091 + ... + 315205109.

Almost surely, 2^{2212400030400} is an apocalyptic number.

2212400030400 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 2212400030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656406435200).

2212400030400 is an abundant number, since it is smaller than the sum of its proper divisors (7100412840000).

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

2212400030400 is a wasteful number, since it uses less digits than its factorization.

2212400030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2212400030400 its reverse (40300042122), we get a palindrome (2252700072522).

The spelling of 2212400030400 in words is "two trillion, two hundred twelve billion, four hundred million, thirty thousand, four hundred".