2064007641444 has 96 divisors (see below), whose sum is σ = 5638092472320. Its totient is φ = 575381173248.

The previous prime is 2064007641391. The next prime is 2064007641511. The reversal of 2064007641444 is 4441467004602.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2064007641396 and 2064007641405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3047997 + ... + 3663099.

It is an arithmetic number, because the mean of its divisors is an integer number (58730129920).

Almost surely, 2^{2064007641444} 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 2064007641444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819046236160).

2064007641444 is an abundant number, since it is smaller than the sum of its proper divisors (3574084830876).

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

2064007641444 is a wasteful number, since it uses less digits than its factorization.

2064007641444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616089 (or 616087 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 2064007641444 in words is "two trillion, sixty-four billion, seven million, six hundred forty-one thousand, four hundred forty-four".