2628286480 has 40 divisors (see below), whose sum is σ = 6166848600. Its totient is φ = 1041666048.

The previous prime is 2628286477. The next prime is 2628286487. The reversal of 2628286480 is 846828262.

It can be written as a sum of positive squares in 4 ways, for example, as 404975376 + 2223311104 = 20124^2 + 47152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2628286480.

It is not an unprimeable number, because it can be changed into a prime (2628286487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141985 + ... + 159424.

It is an arithmetic number, because the mean of its divisors is an integer number (154171215).

Almost surely, 2^2628286480 is an apocalyptic number.

2628286480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2628286480 is an abundant number, since it is smaller than the sum of its proper divisors (3538562120).

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

2628286480 is a wasteful number, since it uses less digits than its factorization.

2628286480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301531 (or 301525 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The square root of 2628286480 is about 51266.8165580817. The cubic root of 2628286480 is about 1380.0375401116.

The spelling of 2628286480 in words is "two billion, six hundred twenty-eight million, two hundred eighty-six thousand, four hundred eighty".