2854911456 has 144 divisors (see below), whose sum is σ = 8624070000. Its totient is φ = 892760064.

The previous prime is 2854911431. The next prime is 2854911497. The reversal of 2854911456 is 6541194582.

2854911456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1903795 + ... + 1905293.

It is an arithmetic number, because the mean of its divisors is an integer number (59889375).

Almost surely, 2^2854911456 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 2854911456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312035000).

2854911456 is an abundant number, since it is smaller than the sum of its proper divisors (5769158544).

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

2854911456 is a wasteful number, since it uses less digits than its factorization.

2854911456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1910 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 2854911456 is about 53431.3714590969. The cubic root of 2854911456 is about 1418.6139116208.

The spelling of 2854911456 in words is "two billion, eight hundred fifty-four million, nine hundred eleven thousand, four hundred fifty-six".