2223138960000 has 2880 divisors, whose sum is σ = 10365836120640. Its totient is φ = 462827520000.

The previous prime is 2223138959999. The next prime is 2223138960011. The reversal of 2223138960000 is 698313222.

2223138960000 is a `hidden beast` number, since 22 + 23 + 1 + 3 + 8 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 71714159985 + ... + 71714160015.

It is an arithmetic number, because the mean of its divisors is an integer number (3599248653).

Almost surely, 2^{2223138960000} is an apocalyptic number.

2223138960000 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 2223138960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182918060320).

2223138960000 is an abundant number, since it is smaller than the sum of its proper divisors (8142697160640).

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

2223138960000 is an frugal number, since it uses more digits than its factorization.

2223138960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2223138960000 in words is "two trillion, two hundred twenty-three billion, one hundred thirty-eight million, nine hundred sixty thousand".