2643551040 has 224 divisors, whose sum is σ = 9331854336. Its totient is φ = 629637120.

The previous prime is 2643551011. The next prime is 2643551059. The reversal of 2643551040 is 401553462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2643550989 and 2643551007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383464 + ... + 390296.

It is an arithmetic number, because the mean of its divisors is an integer number (41660064).

Almost surely, 2^2643551040 is an apocalyptic number.

2643551040 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 2643551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665927168).

2643551040 is an abundant number, since it is smaller than the sum of its proper divisors (6688303296).

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

2643551040 is a wasteful number, since it uses less digits than its factorization.

2643551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2643551040 is about 51415.4747133584. The cubic root of 2643551040 is about 1382.7040448669.

The spelling of 2643551040 in words is "two billion, six hundred forty-three million, five hundred fifty-one thousand, forty".