2122288032 has 96 divisors (see below), whose sum is σ = 5766513984. Its totient is φ = 682905600.

The previous prime is 2122288031. The next prime is 2122288061. The reversal of 2122288032 is 2308822212.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2122288031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463032 + ... + 467592.

It is an arithmetic number, because the mean of its divisors is an integer number (60067854).

Almost surely, 2^2122288032 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 2122288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883256992).

2122288032 is an abundant number, since it is smaller than the sum of its proper divisors (3644225952).

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

2122288032 is a wasteful number, since it uses less digits than its factorization.

2122288032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2122288032 is about 46068.2974723399. The cubic root of 2122288032 is about 1285.0936422343.

The spelling of 2122288032 in words is "two billion, one hundred twenty-two million, two hundred eighty-eight thousand, thirty-two".