2247052492800 has 1368 divisors, whose sum is σ = 8945074416096. Its totient is φ = 557171343360.

The previous prime is 2247052492777. The next prime is 2247052492813. The reversal of 2247052492800 is 82942507422.

2247052492800 is a `hidden beast` number, since 2 + 2 + 47 + 0 + 524 + 9 + 2 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27072921559 + ... + 27072921641.

Almost surely, 2^{2247052492800} is an apocalyptic number.

2247052492800 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 2247052492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472537208048).

2247052492800 is an abundant number, since it is smaller than the sum of its proper divisors (6698021923296).

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

2247052492800 is an frugal number, since it uses more digits than its factorization.

2247052492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2247052492800 in words is "two trillion, two hundred forty-seven billion, fifty-two million, four hundred ninety-two thousand, eight hundred".