2042401024 has 72 divisors (see below), whose sum is σ = 4278337280. Its totient is φ = 971827200.

The previous prime is 2042401001. The next prime is 2042401037. The reversal of 2042401024 is 4201042402.

It is a junction number, because it is equal to n+sod(n) for n = 2042400992 and 2042401010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481987 + ... + 486205.

Almost surely, 2^2042401024 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 2042401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139168640).

2042401024 is an abundant number, since it is smaller than the sum of its proper divisors (2235936256).

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

2042401024 is an equidigital number, since it uses as much as digits as its factorization.

2042401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2042401024 is about 45192.9311286621. The cubic root of 2042401024 is about 1268.7625170807.

Adding to 2042401024 its reverse (4201042402), we get a palindrome (6243443426).

The spelling of 2042401024 in words is "two billion, forty-two million, four hundred one thousand, twenty-four".