2401210120 has 64 divisors (see below), whose sum is σ = 5934384000. Its totient is φ = 870363648.

The previous prime is 2401210117. The next prime is 2401210129. The reversal of 2401210120 is 210121042.

It is a happy number.

2401210120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2401210120.

It is not an unprimeable number, because it can be changed into a prime (2401210129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51205 + ... + 86164.

It is an arithmetic number, because the mean of its divisors is an integer number (92724750).

Almost surely, 2^2401210120 is an apocalyptic number.

2401210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401210120 is an abundant number, since it is smaller than the sum of its proper divisors (3533173880).

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

2401210120 is a wasteful number, since it uses less digits than its factorization.

2401210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137422 (or 137418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2401210120 is about 49002.1440347257. The cubic root of 2401210120 is about 1339.0908885214.

Adding to 2401210120 its reverse (210121042), we get a palindrome (2611331162).

It can be divided in two parts, 2401 and 210120, that added together give a square (212521 = 461²).

The spelling of 2401210120 in words is "two billion, four hundred one million, two hundred ten thousand, one hundred twenty".