2042401120 has 48 divisors (see below), whose sum is σ = 4837916160. Its totient is φ = 814802944.

The previous prime is 2042401079. The next prime is 2042401139. The reversal of 2042401120 is 211042402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2042401094 and 2042401103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44616 + ... + 77944.

It is an arithmetic number, because the mean of its divisors is an integer number (100789920).

Almost surely, 2^2042401120 is an apocalyptic number.

2042401120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042401120 is an abundant number, since it is smaller than the sum of its proper divisors (2795515040).

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

2042401120 is a wasteful number, since it uses less digits than its factorization.

2042401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33727 (or 33719 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2042401120 is about 45192.9321907751. The cubic root of 2042401120 is about 1268.7625369594.

Adding to 2042401120 its reverse (211042402), we get a palindrome (2253443522).

The spelling of 2042401120 in words is "two billion, forty-two million, four hundred one thousand, one hundred twenty".