2544862684452 has 288 divisors, whose sum is σ = 6749528228352. Its totient is φ = 745265664000.

The previous prime is 2544862684423. The next prime is 2544862684457.

It is a happy number.

2544862684452 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2544862684457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3759028738 + ... + 3759029414.

It is an arithmetic number, because the mean of its divisors is an integer number (23435861904).

Almost surely, 2^{2544862684452} is an apocalyptic number.

2544862684452 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 2544862684452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374764114176).

2544862684452 is an abundant number, since it is smaller than the sum of its proper divisors (4204665543900).

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

2544862684452 is a wasteful number, since it uses less digits than its factorization.

2544862684452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1238 counting only the distinct ones).

The product of its digits is 117964800, while the sum is 60.

The spelling of 2544862684452 in words is "two trillion, five hundred forty-four billion, eight hundred sixty-two million, six hundred eighty-four thousand, four hundred fifty-two".