2821131936 has 384 divisors, whose sum is σ = 9970974720. Its totient is φ = 758937600.

The previous prime is 2821131931. The next prime is 2821131947. The reversal of 2821131936 is 6391311282.

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 a self number, because there is not a number n which added to its sum of digits gives 2821131936.

It is not an unprimeable number, because it can be changed into a prime (2821131931) 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, 7686825 + ... + 7687191.

It is an arithmetic number, because the mean of its divisors is an integer number (25966080).

Almost surely, 2^2821131936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2821131936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985487360).

2821131936 is an abundant number, since it is smaller than the sum of its proper divisors (7149842784).

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

2821131936 is a wasteful number, since it uses less digits than its factorization.

2821131936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 451 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2821131936 is about 53114.3289141452. The cubic root of 2821131936 is about 1412.9966507464.

The spelling of 2821131936 in words is "two billion, eight hundred twenty-one million, one hundred thirty-one thousand, nine hundred thirty-six".