2263687506 has 64 divisors (see below), whose sum is σ = 5095301760. Its totient is φ = 744883200.

The previous prime is 2263687477. The next prime is 2263687537. The reversal of 2263687506 is 6057863622.

It is a happy number.

2263687506 is a `hidden beast` number, since 2 + 2 + 63 + 6 + 87 + 506 = 666.

It is a super-2 number, since 2×2263687506² = 10248562249641000072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2316490 + ... + 2317466.

It is an arithmetic number, because the mean of its divisors is an integer number (79614090).

Almost surely, 2^2263687506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263687506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547650880).

2263687506 is an abundant number, since it is smaller than the sum of its proper divisors (2831614254).

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

2263687506 is a wasteful number, since it uses less digits than its factorization.

2263687506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2263687506 is about 47578.2251245252. The cubic root of 2263687506 is about 1313.0224688904.

The spelling of 2263687506 in words is "two billion, two hundred sixty-three million, six hundred eighty-seven thousand, five hundred six".