2822979600 has 480 divisors, whose sum is σ = 11650087680. Its totient is φ = 643852800.

The previous prime is 2822979581. The next prime is 2822979617. The reversal of 2822979600 is 69792282.

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 95 ways as a sum of consecutive naturals, for example, 6123370 + ... + 6123830.

It is an arithmetic number, because the mean of its divisors is an integer number (24271016).

Almost surely, 2^2822979600 is an apocalyptic number.

2822979600 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 2822979600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825043840).

2822979600 is an abundant number, since it is smaller than the sum of its proper divisors (8827108080).

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

2822979600 is an equidigital number, since it uses as much as digits as its factorization.

2822979600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2822979600 is about 53131.7193397692. The cubic root of 2822979600 is about 1413.3050580752.

The spelling of 2822979600 in words is "two billion, eight hundred twenty-two million, nine hundred seventy-nine thousand, six hundred".