2544261120 has 288 divisors, whose sum is σ = 9288442800. Its totient is φ = 642318336.

The previous prime is 2544261119. The next prime is 2544261121. The reversal of 2544261120 is 211624452.

2544261120 is a `hidden beast` number, since 2 + 5 + 4 + 42 + 611 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2544261119) and next prime (2544261121).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544261121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750314 + ... + 1751766.

Almost surely, 2^2544261120 is an apocalyptic number.

2544261120 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 2544261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644221400).

2544261120 is an abundant number, since it is smaller than the sum of its proper divisors (6744181680).

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

2544261120 is a wasteful number, since it uses less digits than its factorization.

2544261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1482 counting only the distinct ones).

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

The square root of 2544261120 is about 50440.6693056307. The cubic root of 2544261120 is about 1365.1715438715.

Adding to 2544261120 its reverse (211624452), we get a palindrome (2755885572).

The spelling of 2544261120 in words is "two billion, five hundred forty-four million, two hundred sixty-one thousand, one hundred twenty".