2563223652 has 144 divisors (see below), whose sum is σ = 7516192320. Its totient is φ = 728352000.

The previous prime is 2563223639. The next prime is 2563223653.

2563223652 is a `hidden beast` number, since 256 + 322 + 36 + 52 = 666.

2563223652 is nontrivially palindromic in base 10.

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 (2563223653) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 758238 + ... + 761610.

It is an arithmetic number, because the mean of its divisors is an integer number (52195780).

Almost surely, 2^2563223652 is an apocalyptic number.

2563223652 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 2563223652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758096160).

2563223652 is an abundant number, since it is smaller than the sum of its proper divisors (4952968668).

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

2563223652 is a wasteful number, since it uses less digits than its factorization.

2563223652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3509 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 2563223652 is about 50628.2890487127. The cubic root of 2563223652 is about 1368.5547214249.

It can be divided in two parts, 25632 and 23652, that added together give a square (49284 = 222²).

The spelling of 2563223652 in words is "two billion, five hundred sixty-three million, two hundred twenty-three thousand, six hundred fifty-two".