2823792480 has 432 divisors, whose sum is σ = 10707645312. Its totient is φ = 674611200.

The previous prime is 2823792443. The next prime is 2823792487. The reversal of 2823792480 is 842973282.

2823792480 is a `hidden beast` number, since 2 + 82 + 3 + 7 + 92 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2823792487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46291650 + ... + 46291710.

It is an arithmetic number, because the mean of its divisors is an integer number (24786216).

Almost surely, 2^2823792480 is an apocalyptic number.

2823792480 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 2823792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353822656).

2823792480 is an abundant number, since it is smaller than the sum of its proper divisors (7883852832).

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

2823792480 is a wasteful number, since it uses less digits than its factorization.

2823792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2823792480 is about 53139.3684569171. The cubic root of 2823792480 is about 1413.4406992919.

The spelling of 2823792480 in words is "two billion, eight hundred twenty-three million, seven hundred ninety-two thousand, four hundred eighty".