2303402400 has 432 divisors, whose sum is σ = 9035046720. Its totient is φ = 566092800.

The previous prime is 2303402399. The next prime is 2303402411. The reversal of 2303402400 is 42043032.

2303402400 is a `hidden beast` number, since 230 + 34 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3650085 + ... + 3650715.

It is an arithmetic number, because the mean of its divisors is an integer number (20914460).

Almost surely, 2^2303402400 is an apocalyptic number.

2303402400 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 2303402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517523360).

2303402400 is an abundant number, since it is smaller than the sum of its proper divisors (6731644320).

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

2303402400 is a wasteful number, since it uses less digits than its factorization.

2303402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2303402400 is about 47993.7745962953. The cubic root of 2303402400 is about 1320.6566980329.

Adding to 2303402400 its reverse (42043032), we get a palindrome (2345445432).

The spelling of 2303402400 in words is "two billion, three hundred three million, four hundred two thousand, four hundred".