2544282072 has 24 divisors (see below), whose sum is σ = 6890764140. Its totient is φ = 848094000.

The previous prime is 2544282049. The next prime is 2544282073. The reversal of 2544282072 is 2702824452.

2544282072 is a `hidden beast` number, since 2 + 5 + 442 + 8 + 207 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2544282072² = 12946742523801226368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544282073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17668554 + ... + 17668697.

Almost surely, 2^2544282072 is an apocalyptic number.

It is an amenable number.

2544282072 is an abundant number, since it is smaller than the sum of its proper divisors (4346482068).

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

2544282072 is a wasteful number, since it uses less digits than its factorization.

2544282072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35337263 (or 35337256 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2544282072 is about 50440.8769947550. The cubic root of 2544282072 is about 1365.1752912589.

The spelling of 2544282072 in words is "two billion, five hundred forty-four million, two hundred eighty-two thousand, seventy-two".