2301372000 has 240 divisors, whose sum is σ = 8447991552. Its totient is φ = 613612800.

The previous prime is 2301371983. The next prime is 2301372011. The reversal of 2301372000 is 2731032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 320449 + ... + 327551.

Almost surely, 2^2301372000 is an apocalyptic number.

2301372000 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 2301372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223995776).

2301372000 is an abundant number, since it is smaller than the sum of its proper divisors (6146619552).

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

2301372000 is an equidigital number, since it uses as much as digits as its factorization.

2301372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7140 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2301372000 is about 47972.6171893925. The cubic root of 2301372000 is about 1320.2685404058.

The spelling of 2301372000 in words is "two billion, three hundred one million, three hundred seventy-two thousand".