2643687936 has 240 divisors, whose sum is σ = 8126712000. Its totient is φ = 848517120.

The previous prime is 2643687923. The next prime is 2643687947. The reversal of 2643687936 is 6397863462.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7838208) is a multiple of the sum of its prime factors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13284765 + ... + 13284963.

It is an arithmetic number, because the mean of its divisors is an integer number (33861300).

Almost surely, 2^2643687936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2643687936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063356000).

2643687936 is an abundant number, since it is smaller than the sum of its proper divisors (5483024064).

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

2643687936 is an equidigital number, since it uses as much as digits as its factorization.

2643687936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 235 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 2643687936 is about 51416.8059684769. The cubic root of 2643687936 is about 1382.7279121806.

The spelling of 2643687936 in words is "two billion, six hundred forty-three million, six hundred eighty-seven thousand, nine hundred thirty-six".