2643848640 has 224 divisors, whose sum is σ = 9628753920. Its totient is φ = 682214400.

The previous prime is 2643848621. The next prime is 2643848663. The reversal of 2643848640 is 468483462.

2643848640 is a `hidden beast` number, since 264 + 384 + 8 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262905 + ... + 272775.

Almost surely, 2^2643848640 is an apocalyptic number.

2643848640 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 2643848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814376960).

2643848640 is an abundant number, since it is smaller than the sum of its proper divisors (6984905280).

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

2643848640 is a wasteful number, since it uses less digits than its factorization.

2643848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9928 (or 9912 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 2643848640 is about 51418.3687022449. The cubic root of 2643848640 is about 1382.7559292801.

It can be divided in two parts, 26438 and 48640, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 2643848640 in words is "two billion, six hundred forty-three million, eight hundred forty-eight thousand, six hundred forty".