2821851264 has 256 divisors, whose sum is σ = 8143027200. Its totient is φ = 864030720.

The previous prime is 2821851257. The next prime is 2821851269. The reversal of 2821851264 is 4621581282.

It is a happy number.

It is a super-2 number, since 2×2821851264² = 15925689112276795392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2821851269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33998167 + ... + 33998249.

It is an arithmetic number, because the mean of its divisors is an integer number (31808700).

Almost surely, 2^2821851264 is an apocalyptic number.

2821851264 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 2821851264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071513600).

2821851264 is an abundant number, since it is smaller than the sum of its proper divisors (5321175936).

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

2821851264 is a wasteful number, since it uses less digits than its factorization.

2821851264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 2821851264 is about 53121.0999886109. The cubic root of 2821851264 is about 1413.1167351313.

The spelling of 2821851264 in words is "two billion, eight hundred twenty-one million, eight hundred fifty-one thousand, two hundred sixty-four".