2628886260 has 576 divisors, whose sum is σ = 10392641280. Its totient is φ = 490613760.

The previous prime is 2628886243. The next prime is 2628886291. The reversal of 2628886260 is 626888262.

It is a super-2 number, since 2×2628886260² = 13822085936033575200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71050962 + ... + 71050998.

It is an arithmetic number, because the mean of its divisors is an integer number (18042780).

Almost surely, 2^2628886260 is an apocalyptic number.

2628886260 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 2628886260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196320640).

2628886260 is an abundant number, since it is smaller than the sum of its proper divisors (7763755020).

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

2628886260 is a wasteful number, since it uses less digits than its factorization.

2628886260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2628886260 is about 51272.6658171779. The cubic root of 2628886260 is about 1380.1425078625.

It can be divided in two parts, 2628 and 886260, that added together give a palindrome (888888).

The spelling of 2628886260 in words is "two billion, six hundred twenty-eight million, eight hundred eighty-six thousand, two hundred sixty".