2261175264 has 288 divisors, whose sum is σ = 7132769280. Its totient is φ = 702991872.

The previous prime is 2261175263. The next prime is 2261175271. The reversal of 2261175264 is 4625711622.

It is a happy number.

2261175264 is a `hidden beast` number, since 226 + 1 + 175 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2261175264² = 10225827149050939392, which contains 22 as substring.

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 (2261175263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8405722 + ... + 8405990.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^2261175264 is an apocalyptic number.

2261175264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261175264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566384640).

2261175264 is an abundant number, since it is smaller than the sum of its proper divisors (4871594016).

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

2261175264 is a wasteful number, since it uses less digits than its factorization.

2261175264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 344 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2261175264 is about 47551.8166214499. The cubic root of 2261175264 is about 1312.5365580021.

Adding to 2261175264 its reverse (4625711622), we get a palindrome (6886886886).

The spelling of 2261175264 in words is "two billion, two hundred sixty-one million, one hundred seventy-five thousand, two hundred sixty-four".