2563360608 has 96 divisors (see below), whose sum is σ = 6822047232. Its totient is φ = 842688000.

The previous prime is 2563360601. The next prime is 2563360619. The reversal of 2563360608 is 8060633652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2563360608² = 13141635213292259328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563360601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4488963 + ... + 4489533.

It is an arithmetic number, because the mean of its divisors is an integer number (71062992).

Almost surely, 2^2563360608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563360608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411023616).

2563360608 is an abundant number, since it is smaller than the sum of its proper divisors (4258686624).

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

2563360608 is a wasteful number, since it uses less digits than its factorization.

2563360608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 2563360608 is about 50629.6415946232. The cubic root of 2563360608 is about 1368.5790954772.

The spelling of 2563360608 in words is "two billion, five hundred sixty-three million, three hundred sixty thousand, six hundred eight".