2628123624 has 256 divisors, whose sum is σ = 8966400000. Its totient is φ = 710990784.

The previous prime is 2628123607. The next prime is 2628123677. The reversal of 2628123624 is 4263218262.

2628123624 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 1 + 23 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1406739 + ... + 1408605.

It is an arithmetic number, because the mean of its divisors is an integer number (35025000).

Almost surely, 2^2628123624 is an apocalyptic number.

2628123624 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 2628123624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483200000).

2628123624 is an abundant number, since it is smaller than the sum of its proper divisors (6338276376).

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

2628123624 is a wasteful number, since it uses less digits than its factorization.

2628123624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1898 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2628123624 is about 51265.2282156239. The cubic root of 2628123624 is about 1380.0090358577.

The spelling of 2628123624 in words is "two billion, six hundred twenty-eight million, one hundred twenty-three thousand, six hundred twenty-four".