2295820800 has 960 divisors, whose sum is σ = 10513493760. Its totient is φ = 477757440.

The previous prime is 2295820781. The next prime is 2295820801. The reversal of 2295820800 is 80285922.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (2295820801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31449564 + ... + 31449636.

It is an arithmetic number, because the mean of its divisors is an integer number (10951556).

Almost surely, 2^2295820800 is an apocalyptic number.

2295820800 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 2295820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256746880).

2295820800 is an abundant number, since it is smaller than the sum of its proper divisors (8217672960).

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

2295820800 is a wasteful number, since it uses less digits than its factorization.

2295820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2295820800 is about 47914.7242504848. The cubic root of 2295820800 is about 1319.2061342244.

The spelling of 2295820800 in words is "two billion, two hundred ninety-five million, eight hundred twenty thousand, eight hundred".