2544141664 has 48 divisors (see below), whose sum is σ = 5350475088. Its totient is φ = 1186619392.

The previous prime is 2544141659. The next prime is 2544141671. The reversal of 2544141664 is 4661414452.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40779 + ... + 82165.

It is an arithmetic number, because the mean of its divisors is an integer number (111468231).

Almost surely, 2^2544141664 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 2544141664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675237544).

2544141664 is an abundant number, since it is smaller than the sum of its proper divisors (2806333424).

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

2544141664 is a wasteful number, since it uses less digits than its factorization.

2544141664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41527 (or 41519 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 2544141664 is about 50439.4851678722. The cubic root of 2544141664 is about 1365.1501780766.

The spelling of 2544141664 in words is "two billion, five hundred forty-four million, one hundred forty-one thousand, six hundred sixty-four".