2805007968 has 240 divisors, whose sum is σ = 9734022144. Its totient is φ = 775422720.

The previous prime is 2805007967. The next prime is 2805008021. The reversal of 2805007968 is 8697005082.

2805007968 is a `hidden beast` number, since 2 + 80 + 500 + 7 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2805007963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 559971 + ... + 564957.

Almost surely, 2^2805007968 is an apocalyptic number.

2805007968 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 2805007968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867011072).

2805007968 is an abundant number, since it is smaller than the sum of its proper divisors (6929014176).

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

2805007968 is a wasteful number, since it uses less digits than its factorization.

2805007968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2805007968 is about 52962.3259307973. The cubic root of 2805007968 is about 1410.2995470419.

The spelling of 2805007968 in words is "two billion, eight hundred five million, seven thousand, nine hundred sixty-eight".