2563680384 has 192 divisors, whose sum is σ = 7590024000. Its totient is φ = 830269440.

The previous prime is 2563680341. The next prime is 2563680397. The reversal of 2563680384 is 4830863652.

It is a happy number.

2563680384 is a `hidden beast` number, since 2 + 5 + 636 + 8 + 0 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2563680384² = 13144914222612774912, which contains 22 as substring.

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, 12150039 + ... + 12150249.

It is an arithmetic number, because the mean of its divisors is an integer number (39531375).

Almost surely, 2^2563680384 is an apocalyptic number.

2563680384 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 2563680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795012000).

2563680384 is an abundant number, since it is smaller than the sum of its proper divisors (5026343616).

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

2563680384 is a wasteful number, since it uses less digits than its factorization.

2563680384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2563680384 is about 50632.7994880789. The cubic root of 2563680384 is about 1368.6360026157.

The spelling of 2563680384 in words is "two billion, five hundred sixty-three million, six hundred eighty thousand, three hundred eighty-four".