2263191552 has 234 divisors, whose sum is σ = 6863255282. Its totient is φ = 718405632.

The previous prime is 2263191551. The next prime is 2263191563. The reversal of 2263191552 is 2551913622.

It is a happy number.

2263191552 is a `hidden beast` number, since 2 + 2 + 631 + 9 + 15 + 5 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 429981696 + 1833209856 = 20736^2 + 42816^2 .

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 (2263191551) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31002588 + ... + 31002660.

Almost surely, 2^2263191552 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 2263191552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431627641).

2263191552 is an abundant number, since it is smaller than the sum of its proper divisors (4600063730).

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

2263191552 is an equidigital number, since it uses as much as digits as its factorization.

2263191552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 107 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 2263191552 is about 47573.0128539280. The cubic root of 2263191552 is about 1312.9265713328.

The spelling of 2263191552 in words is "two billion, two hundred sixty-three million, one hundred ninety-one thousand, five hundred fifty-two".