2865528244224 has 480 divisors, whose sum is σ = 8725310193600. Its totient is φ = 936762900480.

The previous prime is 2865528244219. The next prime is 2865528244237. The reversal of 2865528244224 is 4224428255682.

2865528244224 is a `hidden beast` number, since 2 + 8 + 6 + 552 + 8 + 24 + 42 + 24 = 666.

It is a super-2 number, since 2×2865528244224² (a number of 26 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 3456607842 + ... + 3456608670.

It is an arithmetic number, because the mean of its divisors is an integer number (18177729570).

Almost surely, 2^{2865528244224} is an apocalyptic number.

2865528244224 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 2865528244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362655096800).

2865528244224 is an abundant number, since it is smaller than the sum of its proper divisors (5859781949376).

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

2865528244224 is an equidigital number, since it uses as much as digits as its factorization.

2865528244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1212 counting only the distinct ones).

The product of its digits is 19660800, while the sum is 54.

The spelling of 2865528244224 in words is "two trillion, eight hundred sixty-five billion, five hundred twenty-eight million, two hundred forty-four thousand, two hundred twenty-four".