2821463760 has 160 divisors (see below), whose sum is σ = 9132272640. Its totient is φ = 719769600.

The previous prime is 2821463753. The next prime is 2821463779. The reversal of 2821463760 is 673641282.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660030 + ... + 664290.

It is an arithmetic number, because the mean of its divisors is an integer number (57076704).

Almost surely, 2^2821463760 is an apocalyptic number.

2821463760 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 2821463760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566136320).

2821463760 is an abundant number, since it is smaller than the sum of its proper divisors (6310808880).

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

2821463760 is a wasteful number, since it uses less digits than its factorization.

2821463760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2821463760 is about 53117.4524991551. The cubic root of 2821463760 is about 1413.0520478742.

The spelling of 2821463760 in words is "two billion, eight hundred twenty-one million, four hundred sixty-three thousand, seven hundred sixty".