2152211220 has 288 divisors, whose sum is σ = 7264857600. Its totient is φ = 513257472.

The previous prime is 2152211219. The next prime is 2152211251. The reversal of 2152211220 is 221122512.

2152211220 is a `hidden beast` number, since 21 + 522 + 1 + 122 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2152211193 and 2152211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7010307 + ... + 7010613.

It is an arithmetic number, because the mean of its divisors is an integer number (25225200).

Almost surely, 2^2152211220 is an apocalyptic number.

2152211220 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 2152211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632428800).

2152211220 is an abundant number, since it is smaller than the sum of its proper divisors (5112646380).

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

2152211220 is a wasteful number, since it uses less digits than its factorization.

2152211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2152211220 is about 46391.9305483184. The cubic root of 2152211220 is about 1291.1052003225.

Adding to 2152211220 its reverse (221122512), we get a palindrome (2373333732).

The spelling of 2152211220 in words is "two billion, one hundred fifty-two million, two hundred eleven thousand, two hundred twenty".