2826268900 has 144 divisors (see below), whose sum is σ = 7606763136. Its totient is φ = 887546880.

The previous prime is 2826268889. The next prime is 2826268931. The reversal of 2826268900 is 98626282.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1245567 + ... + 1247833.

It is an arithmetic number, because the mean of its divisors is an integer number (52824744).

Almost surely, 2^2826268900 is an apocalyptic number.

2826268900 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 2826268900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803381568).

2826268900 is an abundant number, since it is smaller than the sum of its proper divisors (4780494236).

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

2826268900 is a wasteful number, since it uses less digits than its factorization.

2826268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 2826268900 is about 53162.6645306648. The cubic root of 2826268900 is about 1413.8537667195.

The spelling of 2826268900 in words is "two billion, eight hundred twenty-six million, two hundred sixty-eight thousand, nine hundred".