2643000840 has 320 divisors, whose sum is σ = 9597139200. Its totient is φ = 650377728.

The previous prime is 2643000809. The next prime is 2643000847. The reversal of 2643000840 is 480003462.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2643000847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2160469 + ... + 2161691.

It is an arithmetic number, because the mean of its divisors is an integer number (29991060).

It is a vampire number, since it can be written as 44028 ⋅ 60030 (with its own digits).

Almost surely, 2^2643000840 is an apocalyptic number.

2643000840 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 2643000840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798569600).

2643000840 is an abundant number, since it is smaller than the sum of its proper divisors (6954138360).

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

2643000840 is a wasteful number, since it uses less digits than its factorization.

2643000840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2643000840 is about 51410.1239057056. The cubic root of 2643000840 is about 1382.6081112106.

The spelling of 2643000840 in words is "two billion, six hundred forty-three million, eight hundred forty", and thus it is an aban number.