2563602048 has 160 divisors (see below), whose sum is σ = 8719376160. Its totient is φ = 732436992.

The previous prime is 2563601987. The next prime is 2563602049. The reversal of 2563602048 is 8402063652.

2563602048 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 602 + 0 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2563602049) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54915 + ... + 90237.

It is an arithmetic number, because the mean of its divisors is an integer number (54496101).

Almost surely, 2^2563602048 is an apocalyptic number.

2563602048 is a gapful number since it is divisible by the number (28) 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 2563602048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359688080).

2563602048 is an abundant number, since it is smaller than the sum of its proper divisors (6155774112).

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

2563602048 is an equidigital number, since it uses as much as digits as its factorization.

2563602048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35356 (or 35335 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2563602048 is about 50632.0259124598. The cubic root of 2563602048 is about 1368.6220624274.

The spelling of 2563602048 in words is "two billion, five hundred sixty-three million, six hundred two thousand, forty-eight".