2052121032 has 96 divisors (see below), whose sum is σ = 6021233400. Its totient is φ = 631373184.

The previous prime is 2052121009. The next prime is 2052121037. The reversal of 2052121032 is 2301212502.

It can be written as a sum of positive squares in 4 ways, for example, as 53494596 + 1998626436 = 7314^2 + 44706^2 .

It is a super-2 number, since 2×2052121032² = 8422401459953490048, which contains 22 as substring.

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 = 2052120996 and 2052121014.

It is not an unprimeable number, because it can be changed into a prime (2052121037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151698 + ... + 164670.

Almost surely, 2^2052121032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010616700).

2052121032 is an abundant number, since it is smaller than the sum of its proper divisors (3969112368).

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

2052121032 is a wasteful number, since it uses less digits than its factorization.

2052121032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13024 (or 12991 counting only the distinct ones).

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

The square root of 2052121032 is about 45300.3425152614. The cubic root of 2052121032 is about 1270.7720587132.

Adding to 2052121032 its reverse (2301212502), we get a palindrome (4353333534).

The spelling of 2052121032 in words is "two billion, fifty-two million, one hundred twenty-one thousand, thirty-two".