2628801147 has 48 divisors (see below), whose sum is σ = 4219948032. Its totient is φ = 1449887040.

The previous prime is 2628801143. The next prime is 2628801157. The reversal of 2628801147 is 7411088262.

It is a happy number.

2628801147 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2628801147 - 2² = 2628801143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2628801143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3339888 + ... + 3340674.

It is an arithmetic number, because the mean of its divisors is an integer number (87915584).

Almost surely, 2^2628801147 is an apocalyptic number.

2628801147 is a deficient number, since it is larger than the sum of its proper divisors (1591146885).

2628801147 is a wasteful number, since it uses less digits than its factorization.

2628801147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 2628801147 is about 51271.8358068053. The cubic root of 2628801147 is about 1380.1276131726.

The spelling of 2628801147 in words is "two billion, six hundred twenty-eight million, eight hundred one thousand, one hundred forty-seven".