2243195247744 has 2048 divisors, whose sum is σ = 8527970304000. Its totient is φ = 571318272000.

The previous prime is 2243195247737. The next prime is 2243195247781. The reversal of 2243195247744 is 4477425913422.

2243195247744 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 1 + 9 + 524 + 77 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27026448727 + ... + 27026448809.

It is an arithmetic number, because the mean of its divisors is an integer number (4164048000).

Almost surely, 2^{2243195247744} is an apocalyptic number.

2243195247744 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 2243195247744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263985152000).

2243195247744 is an abundant number, since it is smaller than the sum of its proper divisors (6284775056256).

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

2243195247744 is a wasteful number, since it uses less digits than its factorization.

2243195247744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 237 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 2243195247744 in words is "two trillion, two hundred forty-three billion, one hundred ninety-five million, two hundred forty-seven thousand, seven hundred forty-four".