2304263280400 has 135 divisors (see below), whose sum is σ = 5620319994783. Its totient is φ = 907873478400.

The previous prime is 2304263280367. The next prime is 2304263280427. The reversal of 2304263280400 is 40823624032.

The square root of 2304263280400 is 1517980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 69310039824 + 2234953240576 = 263268^2 + 1494976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2155531066 + ... + 2155532134.

Almost surely, 2^{2304263280400} is an apocalyptic number.

2304263280400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2304263280400 is the 1517980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304263280400

2304263280400 is an abundant number, since it is smaller than the sum of its proper divisors (3316056714383).

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

2304263280400 is an frugal number, since it uses more digits than its factorization.

2304263280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 2304263280400 in words is "two trillion, three hundred four billion, two hundred sixty-three million, two hundred eighty thousand, four hundred".