2822783040 has 448 divisors, whose sum is σ = 12418283520. Its totient is φ = 586414080.

The previous prime is 2822783017. The next prime is 2822783081. The reversal of 2822783040 is 403872282.

2822783040 is a `hidden beast` number, since 2 + 82 + 278 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 2822782986 and 2822783004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 663159 + ... + 667401.

Almost surely, 2^2822783040 is an apocalyptic number.

2822783040 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 2822783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209141760).

2822783040 is an abundant number, since it is smaller than the sum of its proper divisors (9595500480).

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

2822783040 is a wasteful number, since it uses less digits than its factorization.

2822783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2822783040 is about 53129.8695650573. The cubic root of 2822783040 is about 1413.2722551826.

The spelling of 2822783040 in words is "two billion, eight hundred twenty-two million, seven hundred eighty-three thousand, forty".