2241124913664 has 960 divisors, whose sum is σ = 8347709462400. Its totient is φ = 588429950976.

The previous prime is 2241124913653. The next prime is 2241124913693. The reversal of 2241124913664 is 4663194211422.

2241124913664 is a `hidden beast` number, since 2 + 2 + 41 + 1 + 249 + 1 + 366 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 2703407202 + ... + 2703408030.

It is an arithmetic number, because the mean of its divisors is an integer number (8695530690).

Almost surely, 2^{2241124913664} is an apocalyptic number.

2241124913664 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 2241124913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173854731200).

2241124913664 is an abundant number, since it is smaller than the sum of its proper divisors (6106584548736).

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

2241124913664 is a wasteful number, since it uses less digits than its factorization.

2241124913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1161 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 2241124913664 in words is "two trillion, two hundred forty-one billion, one hundred twenty-four million, nine hundred thirteen thousand, six hundred sixty-four".