2643448412640 has 1536 divisors, whose sum is σ = 10673228611584. Its totient is φ = 536737259520.

The previous prime is 2643448412587. The next prime is 2643448412653. The reversal of 2643448412640 is 462148443462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2643448412640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6901953889 + ... + 6901954271.

It is an arithmetic number, because the mean of its divisors is an integer number (6948716544).

Almost surely, 2^{2643448412640} is an apocalyptic number.

2643448412640 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 2643448412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336614305792).

2643448412640 is an abundant number, since it is smaller than the sum of its proper divisors (8029780198944).

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

2643448412640 is a wasteful number, since it uses less digits than its factorization.

2643448412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 48.

The spelling of 2643448412640 in words is "two trillion, six hundred forty-three billion, four hundred forty-eight million, four hundred twelve thousand, six hundred forty".