2854008960 has 256 divisors, whose sum is σ = 10509264000. Its totient is φ = 651100160.

The previous prime is 2854008959. The next prime is 2854008961. The reversal of 2854008960 is 698004582.

It is an interprime number because it is at equal distance from previous prime (2854008959) and next prime (2854008961).

It is not an unprimeable number, because it can be changed into a prime (2854008961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355066 + ... + 363014.

Almost surely, 2^2854008960 is an apocalyptic number.

2854008960 is a gapful number since it is divisible by the number (20) 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 2854008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254632000).

2854008960 is an abundant number, since it is smaller than the sum of its proper divisors (7655255040).

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

2854008960 is a wasteful number, since it uses less digits than its factorization.

2854008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7999 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2854008960 is about 53422.9254159673. The cubic root of 2854008960 is about 1418.4644115594.

The spelling of 2854008960 in words is "two billion, eight hundred fifty-four million, eight thousand, nine hundred sixty".