2468033568 has 432 divisors, whose sum is σ = 9599518656. Its totient is φ = 591252480.

The previous prime is 2468033539. The next prime is 2468033593. The reversal of 2468033568 is 8653308642.

It is a happy number.

2468033568 is a `hidden beast` number, since 2 + 4 + 6 + 80 + 3 + 3 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2017405 + ... + 2018627.

It is an arithmetic number, because the mean of its divisors is an integer number (22221108).

Almost surely, 2^2468033568 is an apocalyptic number.

2468033568 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 2468033568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799759328).

2468033568 is an abundant number, since it is smaller than the sum of its proper divisors (7131485088).

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

2468033568 is a wasteful number, since it uses less digits than its factorization.

2468033568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1259 counting only the distinct ones).

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

The square root of 2468033568 is about 49679.3072415468. The cubic root of 2468033568 is about 1351.3992931457.

The spelling of 2468033568 in words is "two billion, four hundred sixty-eight million, thirty-three thousand, five hundred sixty-eight".