2213239970304 has 960 divisors, whose sum is σ = 7423379040000. Its totient is φ = 650347315200.

The previous prime is 2213239970287. The next prime is 2213239970327. The reversal of 2213239970304 is 4030799323122.

2213239970304 is a `hidden beast` number, since 2 + 21 + 3 + 239 + 97 + 0 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2213239970304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11121808797 + ... + 11121808995.

It is an arithmetic number, because the mean of its divisors is an integer number (7732686500).

Almost surely, 2^{2213239970304} is an apocalyptic number.

2213239970304 is a gapful number since it is divisible by the number (24) 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 2213239970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711689520000).

2213239970304 is an abundant number, since it is smaller than the sum of its proper divisors (5210139069696).

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

2213239970304 is a wasteful number, since it uses less digits than its factorization.

2213239970304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 2213239970304 in words is "two trillion, two hundred thirteen billion, two hundred thirty-nine million, nine hundred seventy thousand, three hundred four".