2857224864 has 384 divisors, whose sum is σ = 9212313600. Its totient is φ = 770964480.

The previous prime is 2857224863. The next prime is 2857224889. The reversal of 2857224864 is 4684227582.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2857224863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92168529 + ... + 92168559.

It is an arithmetic number, because the mean of its divisors is an integer number (23990400).

Almost surely, 2^2857224864 is an apocalyptic number.

2857224864 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 2857224864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606156800).

2857224864 is an abundant number, since it is smaller than the sum of its proper divisors (6355088736).

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

2857224864 is a wasteful number, since it uses less digits than its factorization.

2857224864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The square root of 2857224864 is about 53453.0154808875. The cubic root of 2857224864 is about 1418.9969879170.

The spelling of 2857224864 in words is "two billion, eight hundred fifty-seven million, two hundred twenty-four thousand, eight hundred sixty-four".