2282249088 has 192 divisors, whose sum is σ = 7836109200. Its totient is φ = 652022784.

The previous prime is 2282249071. The next prime is 2282249093. The reversal of 2282249088 is 8809422822.

2282249088 is a `hidden beast` number, since 2 + 2 + 82 + 2 + 490 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162606 + ... + 176082.

Almost surely, 2^2282249088 is an apocalyptic number.

2282249088 is a gapful number since it is divisible by the number (28) 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 2282249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918054600).

2282249088 is an abundant number, since it is smaller than the sum of its proper divisors (5553860112).

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

2282249088 is a wasteful number, since it uses less digits than its factorization.

2282249088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13514 (or 13489 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2282249088 is about 47772.8907226682. The cubic root of 2282249088 is about 1316.6015056218.

The spelling of 2282249088 in words is "two billion, two hundred eighty-two million, two hundred forty-nine thousand, eighty-eight".