2263727088 has 300 divisors, whose sum is σ = 7808231640. Its totient is φ = 630975744.

The previous prime is 2263727069. The next prime is 2263727093. The reversal of 2263727088 is 8807273622.

2263727088 is a `hidden beast` number, since 2 + 2 + 637 + 2 + 7 + 0 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2730258 + ... + 2731086.

Almost surely, 2^2263727088 is an apocalyptic number.

2263727088 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 2263727088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904115820).

2263727088 is an abundant number, since it is smaller than the sum of its proper divisors (5544504552).

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

2263727088 is a wasteful number, since it uses less digits than its factorization.

2263727088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2263727088 is about 47578.6410903044. The cubic root of 2263727088 is about 1313.0301218537.

The spelling of 2263727088 in words is "two billion, two hundred sixty-three million, seven hundred twenty-seven thousand, eighty-eight".