2040705660672 has 1152 divisors, whose sum is σ = 7527466598400. Its totient is φ = 532389003264.

The previous prime is 2040705660649. The next prime is 2040705660673. The reversal of 2040705660672 is 2760665070402.

2040705660672 is a `hidden beast` number, since 20 + 4 + 0 + 7 + 0 + 566 + 0 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040705660673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3154104253 + ... + 3154104899.

It is an arithmetic number, because the mean of its divisors is an integer number (6534259200).

Almost surely, 2^{2040705660672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040705660672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763733299200).

2040705660672 is an abundant number, since it is smaller than the sum of its proper divisors (5486760937728).

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

2040705660672 is a wasteful number, since it uses less digits than its factorization.

2040705660672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2040705660672 in words is "two trillion, forty billion, seven hundred five million, six hundred sixty thousand, six hundred seventy-two".