2152213920 has 144 divisors (see below), whose sum is σ = 7370941032. Its totient is φ = 571852800.

The previous prime is 2152213913. The next prime is 2152213963. The reversal of 2152213920 is 293122512.

It is a happy number.

2152213920 is a `hidden beast` number, since 2 + 1 + 522 + 139 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1523809296 + 628404624 = 39036^2 + 25068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419370 + ... + 424470.

Almost surely, 2^2152213920 is an apocalyptic number.

2152213920 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 2152213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685470516).

2152213920 is an abundant number, since it is smaller than the sum of its proper divisors (5218727112).

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

2152213920 is a wasteful number, since it uses less digits than its factorization.

2152213920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5415 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2152213920 is about 46391.9596481977. The cubic root of 2152213920 is about 1291.1057402296.

The spelling of 2152213920 in words is "two billion, one hundred fifty-two million, two hundred thirteen thousand, nine hundred twenty".