2799820800 has 756 divisors, whose sum is σ = 12042684576. Its totient is φ = 619315200.

The previous prime is 2799820799. The next prime is 2799820801. The reversal of 2799820800 is 80289972.

It is an interprime number because it is at equal distance from previous prime (2799820799) and next prime (2799820801).

It is a super-2 number, since 2×2799820800² = 15677993024225280000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2799820801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 90316785 + ... + 90316815.

Almost surely, 2^2799820800 is an apocalyptic number.

2799820800 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 2799820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021342288).

2799820800 is an abundant number, since it is smaller than the sum of its proper divisors (9242863776).

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

2799820800 is a wasteful number, since it uses less digits than its factorization.

2799820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2799820800 is about 52913.3329133594. The cubic root of 2799820800 is about 1409.4296772969.

The spelling of 2799820800 in words is "two billion, seven hundred ninety-nine million, eight hundred twenty thousand, eight hundred".