2665142406344 has 64 divisors (see below), whose sum is σ = 5535557755200. Its totient is φ = 1192845772800.

The previous prime is 2665142406337. The next prime is 2665142406347. The reversal of 2665142406344 is 4436042415662.

2665142406344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2665142406344² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2665142406347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1181519 + ... + 2593505.

It is an arithmetic number, because the mean of its divisors is an integer number (86493089925).

Almost surely, 2^{2665142406344} 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 2665142406344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767778877600).

2665142406344 is an abundant number, since it is smaller than the sum of its proper divisors (2870415348856).

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

2665142406344 is a wasteful number, since it uses less digits than its factorization.

2665142406344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412334 (or 1412330 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 47.

The spelling of 2665142406344 in words is "two trillion, six hundred sixty-five billion, one hundred forty-two million, four hundred six thousand, three hundred forty-four".