2643333440 has 112 divisors (see below), whose sum is σ = 6893990784. Its totient is φ = 957388800.

The previous prime is 2643333421. The next prime is 2643333449. The reversal of 2643333440 is 443333462.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2643333397 and 2643333406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643333449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973685 + ... + 976395.

Almost surely, 2^2643333440 is an apocalyptic number.

2643333440 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 2643333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446995392).

2643333440 is an abundant number, since it is smaller than the sum of its proper divisors (4250657344).

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

2643333440 is a wasteful number, since it uses less digits than its factorization.

2643333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

The square root of 2643333440 is about 51413.3585753742. The cubic root of 2643333440 is about 1382.6661054121. Note that the first 3 decimals are identical.

The spelling of 2643333440 in words is "two billion, six hundred forty-three million, three hundred thirty-three thousand, four hundred forty".