2302564000 has 192 divisors, whose sum is σ = 6320426112. Its totient is φ = 817152000.

The previous prime is 2302563979. The next prime is 2302564003. The reversal of 2302564000 is 4652032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2302564003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1891392 + ... + 1892608.

It is an arithmetic number, because the mean of its divisors is an integer number (32918886).

Almost surely, 2^2302564000 is an apocalyptic number.

2302564000 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 2302564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160213056).

2302564000 is an abundant number, since it is smaller than the sum of its proper divisors (4017862112).

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

2302564000 is a wasteful number, since it uses less digits than its factorization.

2302564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2302564000 is about 47985.0393351928. The cubic root of 2302564000 is about 1320.4964462619.

It can be divided in two parts, 230256 and 4000, that added together give a 4-th power (234256 = 22⁴).

The spelling of 2302564000 in words is "two billion, three hundred two million, five hundred sixty-four thousand".