2250384016384 has 297 divisors, whose sum is σ = 5408165109879. Its totient is φ = 933199626240.

The previous prime is 2250384016373. The next prime is 2250384016403. The reversal of 2250384016384 is 4836104830522.

The square root of 2250384016384 is 1500128.

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 112144614400 + 2138239401984 = 334880^2 + 1462272^2 .

It is a super-3 number, since 3×2250384016384³ (a number of 38 digits) contains 333 as substring.

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, 12433060774 + ... + 12433060954.

Almost surely, 2^{2250384016384} is an apocalyptic number.

2250384016384 is the 1500128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250384016384

2250384016384 is an abundant number, since it is smaller than the sum of its proper divisors (3157781093495).

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

2250384016384 is an frugal number, since it uses more digits than its factorization.

2250384016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 2250384016384 in words is "two trillion, two hundred fifty billion, three hundred eighty-four million, sixteen thousand, three hundred eighty-four".