2072443676004 has 144 divisors (see below), whose sum is σ = 5749929227952. Its totient is φ = 625444125696.

The previous prime is 2072443675933. The next prime is 2072443676011. The reversal of 2072443676004 is 4006763442702.

2072443676004 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 4 + 4 + 36 + 7 + 600 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 251692856100 + 1820750819904 = 501690^2 + 1349352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90200662 + ... + 90223634.

It is an arithmetic number, because the mean of its divisors is an integer number (39930064083).

Almost surely, 2^{2072443676004} 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 2072443676004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874964613976).

2072443676004 is an abundant number, since it is smaller than the sum of its proper divisors (3677485551948).

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

2072443676004 is a wasteful number, since it uses less digits than its factorization.

2072443676004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26686 (or 26681 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 2072443676004 in words is "two trillion, seventy-two billion, four hundred forty-three million, six hundred seventy-six thousand, four".