2163849625224 has 1024 divisors, whose sum is σ = 7801214976000. Its totient is φ = 548065419264.

The previous prime is 2163849625219. The next prime is 2163849625237. The reversal of 2163849625224 is 4225269483612.

2163849625224 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 8 + 4 + 9 + 625 + 2 + 2 + 4 = 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, 3495717987 + ... + 3495718605.

It is an arithmetic number, because the mean of its divisors is an integer number (7618374000).

Almost surely, 2^{2163849625224} is an apocalyptic number.

2163849625224 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 2163849625224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900607488000).

2163849625224 is an abundant number, since it is smaller than the sum of its proper divisors (5637365350776).

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

2163849625224 is a wasteful number, since it uses less digits than its factorization.

2163849625224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 744 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 2163849625224 in words is "two trillion, one hundred sixty-three billion, eight hundred forty-nine million, six hundred twenty-five thousand, two hundred twenty-four".