2247665630400 has 1344 divisors, whose sum is σ = 8591000140800. Its totient is φ = 578459750400.

The previous prime is 2247665630363. The next prime is 2247665630407. The reversal of 2247665630400 is 40365667422.

2247665630400 is a `hidden beast` number, since 2 + 2 + 4 + 7 + 6 + 6 + 5 + 630 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2247665630407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20620785546 + ... + 20620785654.

It is an arithmetic number, because the mean of its divisors is an integer number (6392113200).

Almost surely, 2^{2247665630400} is an apocalyptic number.

2247665630400 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 2247665630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295500070400).

2247665630400 is an abundant number, since it is smaller than the sum of its proper divisors (6343334510400).

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

2247665630400 is an equidigital number, since it uses as much as digits as its factorization.

2247665630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2247665630400 in words is "two trillion, two hundred forty-seven billion, six hundred sixty-five million, six hundred thirty thousand, four hundred".