2886833040 has 480 divisors, whose sum is σ = 11712750336. Its totient is φ = 581898240.

The previous prime is 2886833029. The next prime is 2886833041. The reversal of 2886833040 is 403386882.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2886832983 and 2886833001.

It is not an unprimeable number, because it can be changed into a prime (2886833041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3515830 + ... + 3516650.

Almost surely, 2^2886833040 is an apocalyptic number.

2886833040 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 2886833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856375168).

2886833040 is an abundant number, since it is smaller than the sum of its proper divisors (8825917296).

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

2886833040 is a wasteful number, since it uses less digits than its factorization.

2886833040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2886833040 is about 53729.2568346148. The cubic root of 2886833040 is about 1423.8816365238.

The spelling of 2886833040 in words is "two billion, eight hundred eighty-six million, eight hundred thirty-three thousand, forty".