2182602240 has 640 divisors, whose sum is σ = 9569387520. Its totient is φ = 459177984.

The previous prime is 2182602229. The next prime is 2182602259. The reversal of 2182602240 is 422062812.

It is a happy number.

2182602240 is a `hidden beast` number, since 2 + 18 + 2 + 602 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289747 + ... + 6290093.

It is an arithmetic number, because the mean of its divisors is an integer number (14952168).

Almost surely, 2^2182602240 is an apocalyptic number.

2182602240 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 2182602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784693760).

2182602240 is an abundant number, since it is smaller than the sum of its proper divisors (7386785280).

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

2182602240 is a wasteful number, since it uses less digits than its factorization.

2182602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2182602240 is about 46718.3287372312. The cubic root of 2182602240 is about 1297.1539790324.

The spelling of 2182602240 in words is "two billion, one hundred eighty-two million, six hundred two thousand, two hundred forty".