2826731520 has 384 divisors, whose sum is σ = 10305247680. Its totient is φ = 743178240.

The previous prime is 2826731459. The next prime is 2826731563. The reversal of 2826731520 is 251376282.

2826731520 is a `hidden beast` number, since 282 + 67 + 315 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2826731520² = 15980822172323020800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 39813085 + ... + 39813155.

Almost surely, 2^2826731520 is an apocalyptic number.

2826731520 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 2826731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152623840).

2826731520 is an abundant number, since it is smaller than the sum of its proper divisors (7478516160).

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

2826731520 is an frugal number, since it uses more digits than its factorization.

2826731520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2826731520 is about 53167.0153384596. The cubic root of 2826731520 is about 1413.9309050914.

The spelling of 2826731520 in words is "two billion, eight hundred twenty-six million, seven hundred thirty-one thousand, five hundred twenty".