2544216120 has 96 divisors (see below), whose sum is σ = 8283852720. Its totient is φ = 677214720.

The previous prime is 2544216119. The next prime is 2544216133. The reversal of 2544216120 is 216124452.

2544216120 is a `hidden beast` number, since 2 + 5 + 4 + 42 + 1 + 612 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199372 + ... + 211748.

Almost surely, 2^2544216120 is an apocalyptic number.

2544216120 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 2544216120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141926360).

2544216120 is an abundant number, since it is smaller than the sum of its proper divisors (5739636600).

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

2544216120 is a wasteful number, since it uses less digits than its factorization.

2544216120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12965 (or 12958 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2544216120 is about 50440.2232350334. The cubic root of 2544216120 is about 1365.1634952897.

The spelling of 2544216120 in words is "two billion, five hundred forty-four million, two hundred sixteen thousand, one hundred twenty".