2823314240 has 112 divisors (see below), whose sum is σ = 6964710480. Its totient is φ = 1089454080.

The previous prime is 2823314233. The next prime is 2823314251. The reversal of 2823314240 is 424133282.

It can be written as a sum of positive squares in 8 ways, for example, as 4129024 + 2819185216 = 2032^2 + 53096^2 .

It is a super-2 number, since 2×2823314240² = 15942206595573555200, 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1033196 + ... + 1035924.

It is an arithmetic number, because the mean of its divisors is an integer number (62184915).

Almost surely, 2^2823314240 is an apocalyptic number.

2823314240 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 2823314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482355240).

2823314240 is an abundant number, since it is smaller than the sum of its proper divisors (4141396240).

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

2823314240 is a wasteful number, since it uses less digits than its factorization.

2823314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 2823314240 is about 53134.8684010792. The cubic root of 2823314240 is about 1413.3609009298.

The spelling of 2823314240 in words is "two billion, eight hundred twenty-three million, three hundred fourteen thousand, two hundred forty".