2212966400 has 78 divisors (see below), whose sum is σ = 5487740652. Its totient is φ = 885145600.

The previous prime is 2212966361. The next prime is 2212966409. The reversal of 2212966400 is 46692122.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2212966409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91595 + ... + 113205.

Almost surely, 2^2212966400 is an apocalyptic number.

2212966400 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 2212966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743870326).

2212966400 is an abundant number, since it is smaller than the sum of its proper divisors (3274774252).

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

2212966400 is an equidigital number, since it uses as much as digits as its factorization.

2212966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21645 (or 21618 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2212966400 is about 47042.1768203811. The cubic root of 2212966400 is about 1303.1415931998.

The spelling of 2212966400 in words is "two billion, two hundred twelve million, nine hundred sixty-six thousand, four hundred".