2042544038976 has 567 divisors, whose sum is σ = 6997076695557. Its totient is φ = 568011709440.

The previous prime is 2042544038963. The next prime is 2042544038989. The reversal of 2042544038976 is 6798304452402.

It is a happy number.

The square root of 2042544038976 is 1429176.

It is a perfect power (a square), and thus also a powerful number.

2042544038976 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 544 + 0 + 3 + 8 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2042544038963) and next prime (2042544038989).

It can be written as a sum of positive squares in only one way, i.e., 22507200576 + 2020036838400 = 150024^2 + 1421280^2 .

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 11284773606 + ... + 11284773786.

Almost surely, 2^{2042544038976} is an apocalyptic number.

2042544038976 is the 1429176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042544038976

2042544038976 is an abundant number, since it is smaller than the sum of its proper divisors (4954532656581).

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

2042544038976 is an equidigital number, since it uses as much as digits as its factorization.

2042544038976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2042544038976 in words is "two trillion, forty-two billion, five hundred forty-four million, thirty-eight thousand, nine hundred seventy-six".