2563264000 has 240 divisors, whose sum is σ = 7046767728. Its totient is φ = 929280000.

The previous prime is 2563263971. The next prime is 2563264021. The reversal of 2563264000 is 4623652.

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 2563264000.

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, 7743835 + ... + 7744165.

Almost surely, 2^2563264000 is an apocalyptic number.

2563264000 is a gapful number since it is divisible by the number (20) 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 2563264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523383864).

2563264000 is an abundant number, since it is smaller than the sum of its proper divisors (4483503728).

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

2563264000 is an equidigital number, since it uses as much as digits as its factorization.

2563264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2563264000 is about 50628.6875200217. The cubic root of 2563264000 is about 1368.5619022466.

Adding to 2563264000 its reverse (4623652), we get a palindrome (2567887652).

The spelling of 2563264000 in words is "two billion, five hundred sixty-three million, two hundred sixty-four thousand".