2239952114304 has 192 divisors, whose sum is σ = 6590626922880. Its totient is φ = 730009036800.

The previous prime is 2239952114261. The next prime is 2239952114429. The reversal of 2239952114304 is 4034112599322.

2239952114304 is a `hidden beast` number, since 2 + 2 + 3 + 99 + 521 + 1 + 4 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 2239952114304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11639989 + ... + 11830859.

It is an arithmetic number, because the mean of its divisors is an integer number (34326181890).

Almost surely, 2^{2239952114304} is an apocalyptic number.

2239952114304 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 2239952114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295313461440).

2239952114304 is an abundant number, since it is smaller than the sum of its proper divisors (4350674808576).

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

2239952114304 is a wasteful number, since it uses less digits than its factorization.

2239952114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191119 (or 191104 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2239952114304 in words is "two trillion, two hundred thirty-nine billion, nine hundred fifty-two million, one hundred fourteen thousand, three hundred four".