2249235072 has 192 divisors, whose sum is σ = 7578567360. Its totient is φ = 626872320.

The previous prime is 2249235071. The next prime is 2249235073. The reversal of 2249235072 is 2705329422.

It is an interprime number because it is at equal distance from previous prime (2249235071) and next prime (2249235073).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2249235072² = 10118116818229690368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2249235071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327223 + ... + 334025.

It is an arithmetic number, because the mean of its divisors is an integer number (39471705).

Almost surely, 2^2249235072 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 2249235072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789283680).

2249235072 is an abundant number, since it is smaller than the sum of its proper divisors (5329332288).

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

2249235072 is a wasteful number, since it uses less digits than its factorization.

2249235072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2249235072 is about 47426.1011680277. The cubic root of 2249235072 is about 1310.2221855717. Note that the first 3 decimals are identical.

The spelling of 2249235072 in words is "two billion, two hundred forty-nine million, two hundred thirty-five thousand, seventy-two".