2643396208320 has 224 divisors, whose sum is σ = 9598230028800. Its totient is φ = 603796783104.

The previous prime is 2643396208307. The next prime is 2643396208363. The reversal of 2643396208320 is 238026933462.

It is a tau number, because it is divible by the number of its divisors (224).

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 2643396208320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9873991 + ... + 10138169.

It is an arithmetic number, because the mean of its divisors is an integer number (42849241200).

Almost surely, 2^{2643396208320} is an apocalyptic number.

2643396208320 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 2643396208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799115014400).

2643396208320 is an abundant number, since it is smaller than the sum of its proper divisors (6954833820480).

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

2643396208320 is a wasteful number, since it uses less digits than its factorization.

2643396208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265695 (or 265685 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 2643396208320 in words is "two trillion, six hundred forty-three billion, three hundred ninety-six million, two hundred eight thousand, three hundred twenty".