2563240320 has 384 divisors, whose sum is σ = 9241689600. Its totient is φ = 654151680.

The previous prime is 2563240261. The next prime is 2563240333. The reversal of 2563240320 is 230423652.

2563240320 is a `hidden beast` number, since 2 + 5 + 632 + 4 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19566655 + ... + 19566785.

It is an arithmetic number, because the mean of its divisors is an integer number (24066900).

Almost surely, 2^2563240320 is an apocalyptic number.

2563240320 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 2563240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620844800).

2563240320 is an abundant number, since it is smaller than the sum of its proper divisors (6678449280).

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

2563240320 is a wasteful number, since it uses less digits than its factorization.

2563240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2563240320 is about 50628.4536599727. The cubic root of 2563240320 is about 1368.5576878744.

Adding to 2563240320 its reverse (230423652), we get a palindrome (2793663972).

The spelling of 2563240320 in words is "two billion, five hundred sixty-three million, two hundred forty thousand, three hundred twenty".