2249534304 has 72 divisors (see below), whose sum is σ = 6533261280. Its totient is φ = 733886208.

The previous prime is 2249534303. The next prime is 2249534311. The reversal of 2249534304 is 4034359422.

2249534304 is a `hidden beast` number, since 224 + 95 + 343 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249534303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69559 + ... + 96630.

It is an arithmetic number, because the mean of its divisors is an integer number (90739740).

Almost surely, 2^2249534304 is an apocalyptic number.

2249534304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2249534304 is an abundant number, since it is smaller than the sum of its proper divisors (4283726976).

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

2249534304 is a wasteful number, since it uses less digits than its factorization.

2249534304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166252 (or 166241 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2249534304 is about 47429.2557816376. The cubic root of 2249534304 is about 1310.2802857714.

The spelling of 2249534304 in words is "two billion, two hundred forty-nine million, five hundred thirty-four thousand, three hundred four".