2301003140240 has 120 divisors (see below), whose sum is σ = 6228503459640. Its totient is φ = 788252473344.

The previous prime is 2301003140221. The next prime is 2301003140279. The reversal of 2301003140240 is 420413001032.

2301003140240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 178783517584 + 2122219622656 = 422828^2 + 1456784^2 .

It is a super-2 number, since 2×2301003140240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4430546 + ... + 4922574.

It is an arithmetic number, because the mean of its divisors is an integer number (51904195497).

Almost surely, 2^{2301003140240} is an apocalyptic number.

2301003140240 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 2301003140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114251729820).

2301003140240 is an abundant number, since it is smaller than the sum of its proper divisors (3927500319400).

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

2301003140240 is a wasteful number, since it uses less digits than its factorization.

2301003140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493249 (or 493236 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2301003140240 its reverse (420413001032), we get a palindrome (2721416141272).

The spelling of 2301003140240 in words is "two trillion, three hundred one billion, three million, one hundred forty thousand, two hundred forty".