2221338240000 has 660 divisors, whose sum is σ = 8743904117520. Its totient is φ = 538490880000.

The previous prime is 2221338239999. The next prime is 2221338240047. The reversal of 2221338240000 is 428331222.

2221338240000 is a `hidden beast` number, since 2 + 221 + 3 + 38 + 2 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (660).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 63342471 + ... + 63377529.

It is an arithmetic number, because the mean of its divisors is an integer number (13248339572).

Almost surely, 2^{2221338240000} is an apocalyptic number.

2221338240000 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 2221338240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371952058760).

2221338240000 is an abundant number, since it is smaller than the sum of its proper divisors (6522565877520).

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

2221338240000 is a wasteful number, since it uses less digits than its factorization.

2221338240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35116 (or 35080 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 2221338240000 in words is "two trillion, two hundred twenty-one billion, three hundred thirty-eight million, two hundred forty thousand".