2821261824 has 240 divisors, whose sum is σ = 8478910440. Its totient is φ = 902430720.

The previous prime is 2821261771. The next prime is 2821261853. The reversal of 2821261824 is 4281621282.

2821261824 is a `hidden beast` number, since 2 + 8 + 2 + 12 + 618 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2101305600 + 719956224 = 45840^2 + 26832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 20593084 + ... + 20593220.

Almost surely, 2^2821261824 is an apocalyptic number.

2821261824 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 2821261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239455220).

2821261824 is an abundant number, since it is smaller than the sum of its proper divisors (5657648616).

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

2821261824 is a wasteful number, since it uses less digits than its factorization.

2821261824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2821261824 is about 53115.5516209707. The cubic root of 2821261824 is about 1413.0183357174.

The spelling of 2821261824 in words is "two billion, eight hundred twenty-one million, two hundred sixty-one thousand, eight hundred twenty-four".