2289314250304 has 63 divisors (see below), whose sum is σ = 4694898519633. Its totient is φ = 1107551136000.

The previous prime is 2289314250277. The next prime is 2289314250313. The reversal of 2289314250304 is 4030524139822.

The square root of 2289314250304 is 1513048.

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

It can be written as a sum of positive squares in only one way, i.e., 1447324490304 + 841989760000 = 1203048^2 + 917600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 375232854 + ... + 375238954.

Almost surely, 2^{2289314250304} is an apocalyptic number.

2289314250304 is the 1513048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289314250304

2289314250304 is an abundant number, since it is smaller than the sum of its proper divisors (2405584269329).

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

2289314250304 is an frugal number, since it uses more digits than its factorization.

2289314250304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12276 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 2289314250304 in words is "two trillion, two hundred eighty-nine billion, three hundred fourteen million, two hundred fifty thousand, three hundred four".