2643056640 has 576 divisors, whose sum is σ = 11130799680. Its totient is φ = 566231040.

The previous prime is 2643056597. The next prime is 2643056651. The reversal of 2643056640 is 466503462.

2643056640 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 0 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2643056595 and 2643056604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10966920 + ... + 10967160.

It is an arithmetic number, because the mean of its divisors is an integer number (19324305).

Almost surely, 2^2643056640 is an apocalyptic number.

2643056640 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 2643056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565399840).

2643056640 is an abundant number, since it is smaller than the sum of its proper divisors (8487743040).

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

2643056640 is a wasteful number, since it uses less digits than its factorization.

2643056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2643056640 is about 51410.6665975068. Note that the first 3 decimals coincide. The cubic root of 2643056640 is about 1382.6178411848.

The spelling of 2643056640 in words is "two billion, six hundred forty-three million, fifty-six thousand, six hundred forty".