2821198464 has 256 divisors, whose sum is σ = 9572985600. Its totient is φ = 801239040.

The previous prime is 2821198421. The next prime is 2821198477. The reversal of 2821198464 is 4648911282.

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 31 ways as a sum of consecutive naturals, for example, 6700974 + ... + 6701394.

It is an arithmetic number, because the mean of its divisors is an integer number (37394475).

Almost surely, 2^2821198464 is an apocalyptic number.

2821198464 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 2821198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786492800).

2821198464 is an abundant number, since it is smaller than the sum of its proper divisors (6751787136).

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

2821198464 is a wasteful number, since it uses less digits than its factorization.

2821198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 710 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2821198464 is about 53114.9551821330. The cubic root of 2821198464 is about 1413.0077577659.

The spelling of 2821198464 in words is "two billion, eight hundred twenty-one million, one hundred ninety-eight thousand, four hundred sixty-four".