2821996800 has 432 divisors, whose sum is σ = 11831326080. Its totient is φ = 644751360.

The previous prime is 2821996783. The next prime is 2821996813. The reversal of 2821996800 is 86991282.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208434 + ... + 1210766.

Almost surely, 2^2821996800 is an apocalyptic number.

2821996800 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 2821996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915663040).

2821996800 is an abundant number, since it is smaller than the sum of its proper divisors (9009329280).

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

2821996800 is a wasteful number, since it uses less digits than its factorization.

2821996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2821996800 is about 53122.4698221007. The cubic root of 2821996800 is about 1413.1410283821.

The spelling of 2821996800 in words is "two billion, eight hundred twenty-one million, nine hundred ninety-six thousand, eight hundred".