2301312000 has 352 divisors, whose sum is σ = 8261757504. Its totient is φ = 565248000.

The previous prime is 2301311983. The next prime is 2301312017. The reversal of 2301312000 is 2131032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2301311983) and next prime (2301312017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4991770 + ... + 4992230.

It is an arithmetic number, because the mean of its divisors is an integer number (23470902).

Almost surely, 2^2301312000 is an apocalyptic number.

2301312000 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 2301312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130878752).

2301312000 is an abundant number, since it is smaller than the sum of its proper divisors (5960445504).

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

2301312000 is a wasteful number, since it uses less digits than its factorization.

2301312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2301312000 is about 47971.9918285660. The cubic root of 2301312000 is about 1320.2570665545.

Adding to 2301312000 its reverse (2131032), we get a palindrome (2303443032).

The spelling of 2301312000 in words is "two billion, three hundred one million, three hundred twelve thousand".