2628189172224 has 800 divisors, whose sum is σ = 10355610519936. Its totient is φ = 642477588480.

The previous prime is 2628189172223. The next prime is 2628189172229. The reversal of 2628189172224 is 4222719818262.

2628189172224 is a `hidden beast` number, since 2 + 628 + 1 + 8 + 9 + 1 + 7 + 2 + 2 + 2 + 4 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (2628189172223) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54262642 + ... + 54311054.

Almost surely, 2^{2628189172224} is an apocalyptic number.

2628189172224 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 2628189172224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177805259968).

2628189172224 is an abundant number, since it is smaller than the sum of its proper divisors (7727421347712).

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

2628189172224 is a wasteful number, since it uses less digits than its factorization.

2628189172224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48478 (or 48453 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 2628189172224 in words is "two trillion, six hundred twenty-eight billion, one hundred eighty-nine million, one hundred seventy-two thousand, two hundred twenty-four".