2152132020 has 72 divisors (see below), whose sum is σ = 6548900904. Its totient is φ = 572076288.

The previous prime is 2152132019. The next prime is 2152132039. The reversal of 2152132020 is 202312512.

It can be written as a sum of positive squares in 4 ways, for example, as 318408336 + 1833723684 = 17844^2 + 42822^2 .

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 = 2152131984 and 2152132002.

It is a congruent number.

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, 38202 + ... + 75918.

It is an arithmetic number, because the mean of its divisors is an integer number (90956957).

Almost surely, 2^2152132020 is an apocalyptic number.

2152132020 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 2152132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274450452).

2152132020 is an abundant number, since it is smaller than the sum of its proper divisors (4396768884).

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

2152132020 is a wasteful number, since it uses less digits than its factorization.

2152132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38049 (or 38044 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2152132020 is about 46391.0769437399. The cubic root of 2152132020 is about 1291.0893628456.

Adding to 2152132020 its reverse (202312512), we get a palindrome (2354444532).

The spelling of 2152132020 in words is "two billion, one hundred fifty-two million, one hundred thirty-two thousand, twenty".