2544416160 has 384 divisors, whose sum is σ = 9916784640. Its totient is φ = 539136000.

The previous prime is 2544416159. The next prime is 2544416207. The reversal of 2544416160 is 616144452.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1303185 + ... + 1305135.

It is an arithmetic number, because the mean of its divisors is an integer number (25824960).

Almost surely, 2^2544416160 is an apocalyptic number.

2544416160 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 2544416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958392320).

2544416160 is an abundant number, since it is smaller than the sum of its proper divisors (7372368480).

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

2544416160 is a wasteful number, since it uses less digits than its factorization.

2544416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2544416160 is about 50442.2061373212. The cubic root of 2544416160 is about 1365.1992731922.

The spelling of 2544416160 in words is "two billion, five hundred forty-four million, four hundred sixteen thousand, one hundred sixty".