2247122244960 has 432 divisors, whose sum is σ = 8116359058080. Its totient is φ = 566065704960.

The previous prime is 2247122244923. The next prime is 2247122245057. The reversal of 2247122244960 is 694422217422.

2247122244960 is a `hidden beast` number, since 2 + 24 + 7 + 122 + 2 + 449 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 186616540 + ... + 186628580.

It is an arithmetic number, because the mean of its divisors is an integer number (18787868190).

Almost surely, 2^{2247122244960} is an apocalyptic number.

2247122244960 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 2247122244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058179529040).

2247122244960 is an abundant number, since it is smaller than the sum of its proper divisors (5869236813120).

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

2247122244960 is a wasteful number, since it uses less digits than its factorization.

2247122244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12459 (or 12429 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2247122244960 in words is "two trillion, two hundred forty-seven billion, one hundred twenty-two million, two hundred forty-four thousand, nine hundred sixty".