2249584650 has 84 divisors (see below), whose sum is σ = 6273572982. Its totient is φ = 599879520.

The previous prime is 2249584643. The next prime is 2249584669. The reversal of 2249584650 is 564859422.

2249584650 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 584 + 65 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1159198209 + 1090386441 = 34047^2 + 33021^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2249584596 and 2249584605.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 5592 + ... + 67308.

Almost surely, 2^2249584650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249584650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136786491).

2249584650 is an abundant number, since it is smaller than the sum of its proper divisors (4023988332).

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

2249584650 is an equidigital number, since it uses as much as digits as its factorization.

2249584650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61747 (or 61727 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2249584650 is about 47429.7865270338. The cubic root of 2249584650 is about 1310.2900606655.

The spelling of 2249584650 in words is "two billion, two hundred forty-nine million, five hundred eighty-four thousand, six hundred fifty".