2200780800 has 360 divisors, whose sum is σ = 8126216000. Its totient is φ = 583925760.

The previous prime is 2200780787. The next prime is 2200780819. The reversal of 2200780800 is 80870022.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2200780800² = 9686872259297280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11059101 + ... + 11059299.

Almost surely, 2^2200780800 is an apocalyptic number.

2200780800 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 2200780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063108000).

2200780800 is an abundant number, since it is smaller than the sum of its proper divisors (5925435200).

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

2200780800 is an equidigital number, since it uses as much as digits as its factorization.

2200780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2200780800 is about 46912.4802158232. The cubic root of 2200780800 is about 1300.7452925618.

The spelling of 2200780800 in words is "two billion, two hundred million, seven hundred eighty thousand, eight hundred".