2401301000 has 192 divisors, whose sum is σ = 6827483520. Its totient is φ = 774220800.

The previous prime is 2401300991. The next prime is 2401301041. The reversal of 2401301000 is 1031042.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2022407 + ... + 2023593.

It is an arithmetic number, because the mean of its divisors is an integer number (35559810).

Almost surely, 2^2401301000 is an apocalyptic number.

2401301000 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 2401301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413741760).

2401301000 is an abundant number, since it is smaller than the sum of its proper divisors (4426182520).

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

2401301000 is a wasteful number, since it uses less digits than its factorization.

2401301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2401301000 is about 49003.0713323155. The cubic root of 2401301000 is about 1339.1077820929.

Adding to 2401301000 its reverse (1031042), we get a palindrome (2402332042).

The spelling of 2401301000 in words is "two billion, four hundred one million, three hundred one thousand".