2042584272 has 120 divisors (see below), whose sum is σ = 6066201024. Its totient is φ = 639378432.

The previous prime is 2042584211. The next prime is 2042584279. The reversal of 2042584272 is 2724852402.

2042584272 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 584 + 2 + 72 = 666.

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 (2042584279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1818303 + ... + 1819425.

Almost surely, 2^2042584272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042584272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033100512).

2042584272 is an abundant number, since it is smaller than the sum of its proper divisors (4023616752).

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

2042584272 is a wasteful number, since it uses less digits than its factorization.

2042584272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1888 counting only the distinct ones).

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

The square root of 2042584272 is about 45194.9584799013. The cubic root of 2042584272 is about 1268.8004611863.

The spelling of 2042584272 in words is "two billion, forty-two million, five hundred eighty-four thousand, two hundred seventy-two".