2825846478 has 384 divisors, whose sum is σ = 8554291200. Its totient is φ = 653184000.

The previous prime is 2825846431. The next prime is 2825846519. The reversal of 2825846478 is 8746485282.

2825846478 is a `hidden beast` number, since 2 + 82 + 58 + 46 + 478 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27978628 + ... + 27978728.

It is an arithmetic number, because the mean of its divisors is an integer number (22276800).

Almost surely, 2^2825846478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825846478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277145600).

2825846478 is an abundant number, since it is smaller than the sum of its proper divisors (5728444722).

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

2825846478 is a wasteful number, since it uses less digits than its factorization.

2825846478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 205 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 2825846478 is about 53158.6914624504. The cubic root of 2825846478 is about 1413.7833237061.

The spelling of 2825846478 in words is "two billion, eight hundred twenty-five million, eight hundred forty-six thousand, four hundred seventy-eight".