2628274880 has 168 divisors, whose sum is σ = 7862828064. Its totient is φ = 819118080.

The previous prime is 2628274871. The next prime is 2628274903. The reversal of 2628274880 is 884728262.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266192 + ... + 275888.

It is an arithmetic number, because the mean of its divisors is an integer number (46802548).

Almost surely, 2^2628274880 is an apocalyptic number.

2628274880 is a gapful number since it is divisible by the number (20) 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 2628274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931414032).

2628274880 is an abundant number, since it is smaller than the sum of its proper divisors (5234553184).

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

2628274880 is a wasteful number, since it uses less digits than its factorization.

2628274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9743 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 47.

The square root of 2628274880 is about 51266.7034243475. The cubic root of 2628274880 is about 1380.0355098333.

The spelling of 2628274880 in words is "two billion, six hundred twenty-eight million, two hundred seventy-four thousand, eight hundred eighty".