2249712009216 has 1071 divisors, whose sum is σ = 8108693390403. Its totient is φ = 622040186880.

The previous prime is 2249712009173. The next prime is 2249712009269. The reversal of 2249712009216 is 6129002179422.

The square root of 2249712009216 is 1499904.

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

2249712009216 is a `hidden beast` number, since 22 + 497 + 120 + 0 + 9 + 2 + 16 = 666.

It is a super-2 number, since 2×2249712009216² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 72571355121 + ... + 72571355151.

Almost surely, 2^{2249712009216} is an apocalyptic number.

2249712009216 is the 1499904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249712009216

2249712009216 is an abundant number, since it is smaller than the sum of its proper divisors (5858981381187).

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

2249712009216 is an frugal number, since it uses more digits than its factorization.

2249712009216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2249712009216 in words is "two trillion, two hundred forty-nine billion, seven hundred twelve million, nine thousand, two hundred sixteen".