2263991616 has 42 divisors (see below), whose sum is σ = 6489324842. Its totient is φ = 754663680.

The previous prime is 2263991563. The next prime is 2263991623. The reversal of 2263991616 is 6161993622.

2263991616 is a `hidden beast` number, since 2 + 2 + 639 + 9 + 1 + 6 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1528497216 + 735494400 = 39096^2 + 27120^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1964695 + ... + 1965846.

Almost surely, 2^2263991616 is an apocalyptic number.

It is an amenable number.

2263991616 is an abundant number, since it is smaller than the sum of its proper divisors (4225333226).

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

2263991616 is a wasteful number, since it uses less digits than its factorization.

2263991616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930559 (or 3930546 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 2263991616 is about 47581.4209119484. The cubic root of 2263991616 is about 1313.0812646064.

The spelling of 2263991616 in words is "two billion, two hundred sixty-three million, nine hundred ninety-one thousand, six hundred sixteen".