2042537744 has 80 divisors (see below), whose sum is σ = 4492681200. Its totient is φ = 892889088.

The previous prime is 2042537741. The next prime is 2042537767. The reversal of 2042537744 is 4477352402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 362521600 + 1680016144 = 19040^2 + 40988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2042537698 and 2042537707.

It is not an unprimeable number, because it can be changed into a prime (2042537741) 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 15 ways as a sum of consecutive naturals, for example, 316502 + ... + 322890.

It is an arithmetic number, because the mean of its divisors is an integer number (56158515).

Almost surely, 2^2042537744 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 2042537744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246340600).

2042537744 is an abundant number, since it is smaller than the sum of its proper divisors (2450143456).

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

2042537744 is a wasteful number, since it uses less digits than its factorization.

2042537744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 38.

The square root of 2042537744 is about 45194.4437292904. The cubic root of 2042537744 is about 1268.7908271169.

The spelling of 2042537744 in words is "two billion, forty-two million, five hundred thirty-seven thousand, seven hundred forty-four".