2401389100 has 144 divisors (see below), whose sum is σ = 6055862400. Its totient is φ = 817344000.

The previous prime is 2401389061. The next prime is 2401389113. The reversal of 2401389100 is 19831042.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 1859455 + ... + 1860745.

It is an arithmetic number, because the mean of its divisors is an integer number (42054600).

Almost surely, 2^2401389100 is an apocalyptic number.

2401389100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401389100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027931200).

2401389100 is an abundant number, since it is smaller than the sum of its proper divisors (3654473300).

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

2401389100 is a wasteful number, since it uses less digits than its factorization.

2401389100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2401389100 is about 49003.9702473177. The cubic root of 2401389100 is about 1339.1241584868.

The spelling of 2401389100 in words is "two billion, four hundred one million, three hundred eighty-nine thousand, one hundred".