2544151680 has 896 divisors, whose sum is σ = 11237788800. Its totient is φ = 537477120.

The previous prime is 2544151663. The next prime is 2544151723. The reversal of 2544151680 is 861514452.

It is a happy number.

2544151680 is a `hidden beast` number, since 2 + 544 + 1 + 51 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 111 ways as a sum of consecutive naturals, for example, 62052460 + ... + 62052500.

It is an arithmetic number, because the mean of its divisors is an integer number (12542175).

Almost surely, 2^2544151680 is an apocalyptic number.

2544151680 is a gapful number since it is divisible by the number (20) 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 2544151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618894400).

2544151680 is an abundant number, since it is smaller than the sum of its proper divisors (8693637120).

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

2544151680 is an equidigital number, since it uses as much as digits as its factorization.

2544151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2544151680 is about 50439.5844550686. The cubic root of 2544151680 is about 1365.1519695552.

The spelling of 2544151680 in words is "two billion, five hundred forty-four million, one hundred fifty-one thousand, six hundred eighty".