2200772224 has 128 divisors (see below), whose sum is σ = 5138743680. Its totient is φ = 919449600.

The previous prime is 2200772137. The next prime is 2200772237. The reversal of 2200772224 is 4222770022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2200772192 and 2200772201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7511022 + ... + 7511314.

It is an arithmetic number, because the mean of its divisors is an integer number (40146435).

Almost surely, 2^2200772224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569371840).

2200772224 is an abundant number, since it is smaller than the sum of its proper divisors (2937971456).

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

2200772224 is a wasteful number, since it uses less digits than its factorization.

2200772224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The square root of 2200772224 is about 46912.3888114856. The cubic root of 2200772224 is about 1300.7436029787.

The spelling of 2200772224 in words is "two billion, two hundred million, seven hundred seventy-two thousand, two hundred twenty-four".