2544654220416 has 768 divisors, whose sum is σ = 9661723804800. Its totient is φ = 651860213760.

The previous prime is 2544654220411. The next prime is 2544654220417. The reversal of 2544654220416 is 6140224564452.

2544654220416 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 6 + 5 + 4 + 220 + 416 = 666.

It is a super-2 number, since 2×2544654220416² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2544654220411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135973876 + ... + 135992588.

Almost surely, 2^{2544654220416} 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 2544654220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830861902400).

2544654220416 is an abundant number, since it is smaller than the sum of its proper divisors (7117069584384).

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

2544654220416 is a wasteful number, since it uses less digits than its factorization.

2544654220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18834 (or 18809 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

Adding to 2544654220416 its reverse (6140224564452), we get a palindrome (8684878784868).

The spelling of 2544654220416 in words is "two trillion, five hundred forty-four billion, six hundred fifty-four million, two hundred twenty thousand, four hundred sixteen".