2305042400 has 36 divisors (see below), whose sum is σ = 5627186712. Its totient is φ = 922016640.

The previous prime is 2305042381. The next prime is 2305042403. The reversal of 2305042400 is 42405032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305042403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1439852 + ... + 1441451.

It is an arithmetic number, because the mean of its divisors is an integer number (156310742).

Almost surely, 2^2305042400 is an apocalyptic number.

2305042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305042400 is an abundant number, since it is smaller than the sum of its proper divisors (3322144312).

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

2305042400 is a wasteful number, since it uses less digits than its factorization.

2305042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881323 (or 2881310 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2305042400 is about 48010.8571054506. The cubic root of 2305042400 is about 1320.9700552301.

Adding to 2305042400 its reverse (42405032), we get a palindrome (2347447432).

The spelling of 2305042400 in words is "two billion, three hundred five million, forty-two thousand, four hundred".