2628511944 has 64 divisors (see below), whose sum is σ = 6865827840. Its totient is φ = 836996160.

The previous prime is 2628511943. The next prime is 2628511973. The reversal of 2628511944 is 4491158262.

2628511944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2628511896 and 2628511905.

It is not an unprimeable number, because it can be changed into a prime (2628511943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500259 + ... + 505485.

It is an arithmetic number, because the mean of its divisors is an integer number (107278560).

Almost surely, 2^2628511944 is an apocalyptic number.

2628511944 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 2628511944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432913920).

2628511944 is an abundant number, since it is smaller than the sum of its proper divisors (4237315896).

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

2628511944 is a wasteful number, since it uses less digits than its factorization.

2628511944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6170 (or 6166 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 2628511944 is about 51269.0154381767. The cubic root of 2628511944 is about 1380.0770005344.

The spelling of 2628511944 in words is "two billion, six hundred twenty-eight million, five hundred eleven thousand, nine hundred forty-four".