2428664544 has 72 divisors (see below), whose sum is σ = 6959344392. Its totient is φ = 803362560.

The previous prime is 2428664543. The next prime is 2428664551. The reversal of 2428664544 is 4454668242.

2428664544 is a `hidden beast` number, since 2 + 42 + 8 + 6 + 64 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2428664544² = 11796822934565455872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2428664544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428664543) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5542 + ... + 69914.

It is an arithmetic number, because the mean of its divisors is an integer number (96657561).

Almost surely, 2^2428664544 is an apocalyptic number.

2428664544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428664544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479672196).

2428664544 is an abundant number, since it is smaller than the sum of its proper divisors (4530679848).

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

2428664544 is a wasteful number, since it uses less digits than its factorization.

2428664544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64520 (or 64509 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The square root of 2428664544 is about 49281.4827699005. The cubic root of 2428664544 is about 1344.1750941098.

The spelling of 2428664544 in words is "two billion, four hundred twenty-eight million, six hundred sixty-four thousand, five hundred forty-four".