2213406148800 has 1344 divisors, whose sum is σ = 9348923916288. Its totient is φ = 448842240000.

The previous prime is 2213406148799. The next prime is 2213406148817. The reversal of 2213406148800 is 88416043122.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1923028225 + ... + 1923029375.

Almost surely, 2^{2213406148800} is an apocalyptic number.

2213406148800 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 2213406148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674461958144).

2213406148800 is an abundant number, since it is smaller than the sum of its proper divisors (7135517767488).

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

2213406148800 is a wasteful number, since it uses less digits than its factorization.

2213406148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 2213406148800 in words is "two trillion, two hundred thirteen billion, four hundred six million, one hundred forty-eight thousand, eight hundred".