2243961532800 has 1152 divisors, whose sum is σ = 9134450357760. Its totient is φ = 540492963840.

The previous prime is 2243961532783. The next prime is 2243961532801. The reversal of 2243961532800 is 82351693422.

2243961532800 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 9 + 615 + 3 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2243961532800² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243961532801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 475111239 + ... + 475115961.

It is an arithmetic number, because the mean of its divisors is an integer number (7929210380).

Almost surely, 2^{2243961532800} is an apocalyptic number.

2243961532800 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 2243961532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567225178880).

2243961532800 is an abundant number, since it is smaller than the sum of its proper divisors (6890488824960).

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

2243961532800 is a wasteful number, since it uses less digits than its factorization.

2243961532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2243961532800 in words is "two trillion, two hundred forty-three billion, nine hundred sixty-one million, five hundred thirty-two thousand, eight hundred".