2854462464 has 440 divisors, whose sum is σ = 10091218720. Its totient is φ = 796594176.

The previous prime is 2854462451. The next prime is 2854462483. The reversal of 2854462464 is 4642644582.

2854462464 is a `hidden beast` number, since 2 + 8 + 544 + 62 + 46 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66382827 + ... + 66382869.

It is an arithmetic number, because the mean of its divisors is an integer number (22934588).

Almost surely, 2^2854462464 is an apocalyptic number.

2854462464 is a gapful number since it is divisible by the number (24) 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 2854462464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045609360).

2854462464 is an abundant number, since it is smaller than the sum of its proper divisors (7236756256).

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

2854462464 is an frugal number, since it uses more digits than its factorization.

2854462464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 55 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The square root of 2854462464 is about 53427.1697172890. The cubic root of 2854462464 is about 1418.5395392394.

The spelling of 2854462464 in words is "two billion, eight hundred fifty-four million, four hundred sixty-two thousand, four hundred sixty-four".