2304970800 has 240 divisors, whose sum is σ = 8253221760. Its totient is φ = 545024000.

The previous prime is 2304970799. The next prime is 2304970853. The reversal of 2304970800 is 80794032.

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 (33).

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, 539071 + ... + 543329.

It is an arithmetic number, because the mean of its divisors is an integer number (34388424).

Almost surely, 2^2304970800 is an apocalyptic number.

2304970800 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 2304970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126610880).

2304970800 is an abundant number, since it is smaller than the sum of its proper divisors (5948250960).

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

2304970800 is a wasteful number, since it uses less digits than its factorization.

2304970800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2304970800 is about 48010.1114349884. Note that the first 3 decimals coincide. The cubic root of 2304970800 is about 1320.9563776169.

The spelling of 2304970800 in words is "two billion, three hundred four million, nine hundred seventy thousand, eight hundred".