2823715440 has 480 divisors, whose sum is σ = 11855241216. Its totient is φ = 586414080.

The previous prime is 2823715429. The next prime is 2823715459. The reversal of 2823715440 is 445173282.

It is a happy number.

2823715440 is a `hidden beast` number, since 2 + 82 + 37 + 1 + 544 + 0 = 666.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 2823715395 and 2823715404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4651617 + ... + 4652223.

Almost surely, 2^2823715440 is an apocalyptic number.

2823715440 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 2823715440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927620608).

2823715440 is an abundant number, since it is smaller than the sum of its proper divisors (9031525776).

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

2823715440 is a wasteful number, since it uses less digits than its factorization.

2823715440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2823715440 is about 53138.6435656764. The cubic root of 2823715440 is about 1413.4278451294.

The spelling of 2823715440 in words is "two billion, eight hundred twenty-three million, seven hundred fifteen thousand, four hundred forty".