2791283040 has 864 divisors, whose sum is σ = 12705245280. Its totient is φ = 551190528.

The previous prime is 2791283021. The next prime is 2791283041. The reversal of 2791283040 is 403821972.

2791283040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2791283040² = 15582522018783283200, which contains 22 as substring.

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 = 2791282986 and 2791283004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2791283041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15593671 + ... + 15593849.

It is an arithmetic number, because the mean of its divisors is an integer number (14705145).

Almost surely, 2^2791283040 is an apocalyptic number.

2791283040 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 2791283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352622640).

2791283040 is an abundant number, since it is smaller than the sum of its proper divisors (9913962240).

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

2791283040 is a wasteful number, since it uses less digits than its factorization.

2791283040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2791283040 is about 52832.5944848443. The cubic root of 2791283040 is about 1407.9955825877.

The spelling of 2791283040 in words is "two billion, seven hundred ninety-one million, two hundred eighty-three thousand, forty".