2301796800 has 504 divisors, whose sum is σ = 8844076800. Its totient is φ = 565954560.

The previous prime is 2301796793. The next prime is 2301796813. The reversal of 2301796800 is 86971032.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 12859111 + ... + 12859289.

Almost surely, 2^2301796800 is an apocalyptic number.

2301796800 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 2301796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422038400).

2301796800 is an abundant number, since it is smaller than the sum of its proper divisors (6542280000).

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

2301796800 is a wasteful number, since it uses less digits than its factorization.

2301796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2301796800 is about 47977.0445108908. The cubic root of 2301796800 is about 1320.3497695699.

The spelling of 2301796800 in words is "two billion, three hundred one million, seven hundred ninety-six thousand, eight hundred".