2826539089920 has 2400 divisors, whose sum is σ = 12959399878656. Its totient is φ = 573308928000.

The previous prime is 2826539089831. The next prime is 2826539089937. The reversal of 2826539089920 is 299809356282.

2826539089920 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 539 + 0 + 8 + 9 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18718801845 + ... + 18718801995.

Almost surely, 2^{2826539089920} is an apocalyptic number.

2826539089920 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 2826539089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479699939328).

2826539089920 is an abundant number, since it is smaller than the sum of its proper divisors (10132860788736).

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

2826539089920 is a wasteful number, since it uses less digits than its factorization.

2826539089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 2826539089920 in words is "two trillion, eight hundred twenty-six billion, five hundred thirty-nine million, eighty-nine thousand, nine hundred twenty".