2247112226304 has 960 divisors, whose sum is σ = 7567405655040. Its totient is φ = 657524736000.

The previous prime is 2247112226291. The next prime is 2247112226341. The reversal of 2247112226304 is 4036222117422.

2247112226304 is a `hidden beast` number, since 2 + 2 + 4 + 7 + 1 + 12 + 2 + 2 + 630 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7940325747 + ... + 7940326029.

It is an arithmetic number, because the mean of its divisors is an integer number (7882714224).

Almost surely, 2^{2247112226304} is an apocalyptic number.

2247112226304 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 2247112226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783702827520).

2247112226304 is an abundant number, since it is smaller than the sum of its proper divisors (5320293428736).

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

2247112226304 is a wasteful number, since it uses less digits than its factorization.

2247112226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

It can be divided in two parts, 22471 and 12226304, that added together give a triangular number (12248775 = T₄₉₄₉).

The spelling of 2247112226304 in words is "two trillion, two hundred forty-seven billion, one hundred twelve million, two hundred twenty-six thousand, three hundred four".