2244291971328 has 360 divisors, whose sum is σ = 7729893974880. Its totient is φ = 640082165760.

The previous prime is 2244291971323. The next prime is 2244291971353. The reversal of 2244291971328 is 8231791924422.

2244291971328 is a `hidden beast` number, since 2 + 2 + 4 + 429 + 197 + 1 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2244291971323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3588243 + ... + 4167021.

It is an arithmetic number, because the mean of its divisors is an integer number (21471927708).

Almost surely, 2^{2244291971328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244291971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864946987440).

2244291971328 is an abundant number, since it is smaller than the sum of its proper divisors (5485602003552).

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

2244291971328 is a wasteful number, since it uses less digits than its factorization.

2244291971328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578835 (or 578812 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 2244291971328 in words is "two trillion, two hundred forty-four billion, two hundred ninety-one million, nine hundred seventy-one thousand, three hundred twenty-eight".