2263517652 has 72 divisors (see below), whose sum is σ = 6081016032. Its totient is φ = 649800000.

The previous prime is 2263517647. The next prime is 2263517741. The reversal of 2263517652 is 2567153622.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2263517652.

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, 23902 + ... + 71402.

It is an arithmetic number, because the mean of its divisors is an integer number (84458556).

Almost surely, 2^2263517652 is an apocalyptic number.

2263517652 is a gapful number since it is divisible by the number (22) 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 2263517652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040508016).

2263517652 is an abundant number, since it is smaller than the sum of its proper divisors (3817498380).

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

2263517652 is a wasteful number, since it uses less digits than its factorization.

2263517652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47557 (or 47536 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 2263517652 is about 47576.4400938111. The cubic root of 2263517652 is about 1312.9896275351.

It can be divided in two parts, 2263 and 517652, that added together give a palindrome (519915).

The spelling of 2263517652 in words is "two billion, two hundred sixty-three million, five hundred seventeen thousand, six hundred fifty-two".