2563642224 has 560 divisors, whose sum is σ = 9221597280. Its totient is φ = 679311360.

The previous prime is 2563642201. The next prime is 2563642271. The reversal of 2563642224 is 4222463652.

2563642224 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 642 + 2 + 2 + 4 = 666.

It is a super-2 number, since 2×2563642224² = 13144522905351332352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48370582 + ... + 48370634.

It is an arithmetic number, because the mean of its divisors is an integer number (16467138).

Almost surely, 2^2563642224 is an apocalyptic number.

2563642224 is a gapful number since it is divisible by the number (24) 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 2563642224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610798640).

2563642224 is an abundant number, since it is smaller than the sum of its proper divisors (6657955056).

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

2563642224 is a wasteful number, since it uses less digits than its factorization.

2563642224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 2563642224 is about 50632.4226558438. The cubic root of 2563642224 is about 1368.6292119345.

The spelling of 2563642224 in words is "two billion, five hundred sixty-three million, six hundred forty-two thousand, two hundred twenty-four".