2249217152 has 128 divisors (see below), whose sum is σ = 5693721600. Its totient is φ = 860958720.

The previous prime is 2249217149. The next prime is 2249217197. The reversal of 2249217152 is 2517129422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2249217152² = 10117955593701982208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357974 + ... + 364202.

It is an arithmetic number, because the mean of its divisors is an integer number (44482200).

Almost surely, 2^2249217152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846860800).

2249217152 is an abundant number, since it is smaller than the sum of its proper divisors (3444504448).

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

2249217152 is a wasteful number, since it uses less digits than its factorization.

2249217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294 (or 6282 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 2249217152 is about 47425.9122421488. The cubic root of 2249217152 is about 1310.2187059823.

The spelling of 2249217152 in words is "two billion, two hundred forty-nine million, two hundred seventeen thousand, one hundred fifty-two".