2826134100 has 432 divisors, whose sum is σ = 9952488000. Its totient is φ = 667699200.

The previous prime is 2826134063. The next prime is 2826134117. The reversal of 2826134100 is 14316282.

2826134100 is a `hidden beast` number, since 2 + 8 + 2 + 613 + 41 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20331831 + ... + 20331969.

Almost surely, 2^2826134100 is an apocalyptic number.

2826134100 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 2826134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976244000).

2826134100 is an abundant number, since it is smaller than the sum of its proper divisors (7126353900).

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

2826134100 is a wasteful number, since it uses less digits than its factorization.

2826134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2826134100 is about 53161.3967085140. The cubic root of 2826134100 is about 1413.8312882594.

The spelling of 2826134100 in words is "two billion, eight hundred twenty-six million, one hundred thirty-four thousand, one hundred".