2302144400 has 30 divisors (see below), whose sum is σ = 5530902882. Its totient is φ = 920857600.

The previous prime is 2302144379. The next prime is 2302144417. The reversal of 2302144400 is 44412032.

It can be written as a sum of positive squares in 3 ways, for example, as 458987776 + 1843156624 = 21424^2 + 42932^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2877281 + ... + 2878080.

Almost surely, 2^2302144400 is an apocalyptic number.

2302144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2302144400 is an abundant number, since it is smaller than the sum of its proper divisors (3228758482).

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

2302144400 is a wasteful number, since it uses less digits than its factorization.

2302144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755379 (or 5755368 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2302144400 is about 47980.6669399249. Note that the first 3 decimals coincide. The cubic root of 2302144400 is about 1320.4162293140.

Adding to 2302144400 its reverse (44412032), we get a palindrome (2346556432).

The spelling of 2302144400 in words is "two billion, three hundred two million, one hundred forty-four thousand, four hundred".