2303473998400 has 189 divisors, whose sum is σ = 5984998529979. Its totient is φ = 872458306560.

The previous prime is 2303473998373. The next prime is 2303473998401. The reversal of 2303473998400 is 48993743032.

It is a happy number.

The square root of 2303473998400 is 1517720.

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 1113734072896 + 1189739925504 = 1055336^2 + 1090752^2 .

It is a super-2 number, since 2×2303473998400² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2303473998401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1153466202 + ... + 1153468198.

Almost surely, 2^{2303473998400} is an apocalyptic number.

2303473998400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2303473998400 is the 1517720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303473998400

2303473998400 is an abundant number, since it is smaller than the sum of its proper divisors (3681524531579).

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

2303473998400 is an frugal number, since it uses more digits than its factorization.

2303473998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 2303473998400 in words is "two trillion, three hundred three billion, four hundred seventy-three million, nine hundred ninety-eight thousand, four hundred".