2826762240 has 384 divisors, whose sum is σ = 9906624000. Its totient is φ = 685375488.

The previous prime is 2826762233. The next prime is 2826762271. The reversal of 2826762240 is 422676282.

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

It is a super-2 number, since 2×2826762240² = 15981169522979635200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16926637 + ... + 16926803.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500).

Almost surely, 2^2826762240 is an apocalyptic number.

2826762240 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 2826762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312000).

2826762240 is an abundant number, since it is smaller than the sum of its proper divisors (7079861760).

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

2826762240 is a wasteful number, since it uses less digits than its factorization.

2826762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2826762240 is about 53167.3042386014. The cubic root of 2826762240 is about 1413.9360271201.

The spelling of 2826762240 in words is "two billion, eight hundred twenty-six million, seven hundred sixty-two thousand, two hundred forty".