2856219840 has 448 divisors, whose sum is σ = 10767974400. Its totient is φ = 710664192.

The previous prime is 2856219829. The next prime is 2856219869. The reversal of 2856219840 is 489126582.

2856219840 is a `hidden beast` number, since 2 + 8 + 562 + 1 + 9 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20848252 + ... + 20848388.

Almost surely, 2^2856219840 is an apocalyptic number.

2856219840 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 2856219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383987200).

2856219840 is an abundant number, since it is smaller than the sum of its proper divisors (7911754560).

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

2856219840 is a wasteful number, since it uses less digits than its factorization.

2856219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2856219840 is about 53443.6136502763. The cubic root of 2856219840 is about 1418.8305918110.

The spelling of 2856219840 in words is "two billion, eight hundred fifty-six million, two hundred nineteen thousand, eight hundred forty".