2182148640 has 192 divisors, whose sum is σ = 8728715520. Its totient is φ = 498769920.

The previous prime is 2182148599. The next prime is 2182148659. The reversal of 2182148640 is 468412812.

2182148640 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 1 + 4 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2182148595 and 2182148604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5841 + ... + 66320.

It is an arithmetic number, because the mean of its divisors is an integer number (45462060).

Almost surely, 2^2182148640 is an apocalyptic number.

2182148640 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 2182148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364357760).

2182148640 is an abundant number, since it is smaller than the sum of its proper divisors (6546566880).

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

2182148640 is a wasteful number, since it uses less digits than its factorization.

2182148640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72192 (or 72178 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2182148640 is about 46713.4738592625. The cubic root of 2182148640 is about 1297.0641123281.

The spelling of 2182148640 in words is "two billion, one hundred eighty-two million, one hundred forty-eight thousand, six hundred forty".