2182041888 has 96 divisors (see below), whose sum is σ = 6367560192. Its totient is φ = 649728000.

The previous prime is 2182041887. The next prime is 2182041889. The reversal of 2182041888 is 8881402812.

It is an interprime number because it is at equal distance from previous prime (2182041887) and next prime (2182041889).

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

It is a super-2 number, since 2×2182041888² = 9522613601973209088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2182041887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10488 + ... + 66888.

It is an arithmetic number, because the mean of its divisors is an integer number (66328752).

Almost surely, 2^2182041888 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 2182041888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183780096).

2182041888 is an abundant number, since it is smaller than the sum of its proper divisors (4185518304).

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

2182041888 is a wasteful number, since it uses less digits than its factorization.

2182041888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56458 (or 56450 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 42.

The square root of 2182041888 is about 46712.3312199252. The cubic root of 2182041888 is about 1297.0429609358.

The spelling of 2182041888 in words is "two billion, one hundred eighty-two million, forty-one thousand, eight hundred eighty-eight".