2042494272 has 448 divisors, whose sum is σ = 7646822400. Its totient is φ = 520058880.

The previous prime is 2042494219. The next prime is 2042494283. The reversal of 2042494272 is 2724942402.

2042494272 is a `hidden beast` number, since 204 + 24 + 9 + 427 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4874479 + ... + 4874897.

It is an arithmetic number, because the mean of its divisors is an integer number (17068800).

Almost surely, 2^2042494272 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 2042494272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823411200).

2042494272 is an abundant number, since it is smaller than the sum of its proper divisors (5604328128).

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

2042494272 is a wasteful number, since it uses less digits than its factorization.

2042494272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2042494272 is about 45193.9627826549. The cubic root of 2042494272 is about 1268.7818256894.

The spelling of 2042494272 in words is "two billion, forty-two million, four hundred ninety-four thousand, two hundred seventy-two".