2200029984 has 120 divisors (see below), whose sum is σ = 6621032880. Its totient is φ = 716252544.

The previous prime is 2200029977. The next prime is 2200029989. The reversal of 2200029984 is 4899200022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2200029989) 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 19 ways as a sum of consecutive naturals, for example, 101587 + ... + 121325.

It is an arithmetic number, because the mean of its divisors is an integer number (55175274).

Almost surely, 2^2200029984 is an apocalyptic number.

2200029984 is a gapful number since it is divisible by the number (24) 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 2200029984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310516440).

2200029984 is an abundant number, since it is smaller than the sum of its proper divisors (4421002896).

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

2200029984 is a wasteful number, since it uses less digits than its factorization.

2200029984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19804 (or 19787 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2200029984 is about 46904.4772276592. The cubic root of 2200029984 is about 1300.5973554509.

It can be divided in two parts, 22000 and 29984, that added together give a square (51984 = 228²).

The spelling of 2200029984 in words is "two billion, two hundred million, twenty-nine thousand, nine hundred eighty-four".