2643889248 has 480 divisors, whose sum is σ = 10450218240. Its totient is φ = 633277440.

The previous prime is 2643889247. The next prime is 2643889277. The reversal of 2643889248 is 8429883462.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2643889194 and 2643889203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643889247) 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, 2594083 + ... + 2595101.

It is an arithmetic number, because the mean of its divisors is an integer number (21771288).

Almost surely, 2^2643889248 is an apocalyptic number.

2643889248 is a gapful number since it is divisible by the number (28) 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 2643889248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225109120).

2643889248 is an abundant number, since it is smaller than the sum of its proper divisors (7806328992).

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

2643889248 is a wasteful number, since it uses less digits than its factorization.

2643889248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1055 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 2643889248 is about 51418.7635790671. The cubic root of 2643889248 is about 1382.7630086901.

The spelling of 2643889248 in words is "two billion, six hundred forty-three million, eight hundred eighty-nine thousand, two hundred forty-eight".