2643611944032 has 72 divisors (see below), whose sum is σ = 7518180295080. Its totient is φ = 881156060160.

The previous prime is 2643611944013. The next prime is 2643611944049. The reversal of 2643611944032 is 2304491163462.

2643611944032 is a `hidden beast` number, since 2 + 64 + 3 + 6 + 119 + 440 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2643611944032² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5266819 + ... + 5746877.

It is an arithmetic number, because the mean of its divisors is an integer number (104419170765).

Almost surely, 2^{2643611944032} is an apocalyptic number.

It is an amenable number.

2643611944032 is an abundant number, since it is smaller than the sum of its proper divisors (4874568351048).

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

2643611944032 is a wasteful number, since it uses less digits than its factorization.

2643611944032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499196 (or 499185 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2643611944032 in words is "two trillion, six hundred forty-three billion, six hundred eleven million, nine hundred forty-four thousand, thirty-two".