2042041248 has 144 divisors (see below), whose sum is σ = 6423207336. Its totient is φ = 611297280.

The previous prime is 2042041219. The next prime is 2042041259. The reversal of 2042041248 is 8421402402.

2042041248 is a `hidden beast` number, since 204 + 2 + 0 + 412 + 48 = 666.

2042041248 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2036897424 + 5143824 = 45132^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 131158 + ... + 145898.

Almost surely, 2^2042041248 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 2042041248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211603668).

2042041248 is an abundant number, since it is smaller than the sum of its proper divisors (4381166088).

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

2042041248 is a wasteful number, since it uses less digits than its factorization.

2042041248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14807 (or 14796 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2042041248 is about 45188.9505078399. The cubic root of 2042041248 is about 1268.6880137382.

The spelling of 2042041248 in words is "two billion, forty-two million, forty-one thousand, two hundred forty-eight".