2544664452 has 72 divisors (see below), whose sum is σ = 6836310432. Its totient is φ = 730512000.

The previous prime is 2544664429. The next prime is 2544664453.

2544664452 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2544664453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20952 + ... + 74352.

It is an arithmetic number, because the mean of its divisors is an integer number (94948756).

Almost surely, 2^2544664452 is an apocalyptic number.

2544664452 is a gapful number since it is divisible by the number (22) 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 2544664452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418155216).

2544664452 is an abundant number, since it is smaller than the sum of its proper divisors (4291645980).

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

2544664452 is a wasteful number, since it uses less digits than its factorization.

2544664452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53457 (or 53436 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The square root of 2544664452 is about 50444.6672305408. The cubic root of 2544664452 is about 1365.2436785372.

It can be divided in two parts, 25446 and 64452, that added together give a palindrome (89898).

The spelling of 2544664452 in words is "two billion, five hundred forty-four million, six hundred sixty-four thousand, four hundred fifty-two".