2121321024 has 84 divisors (see below), whose sum is σ = 6098193036. Its totient is φ = 705036288.

The previous prime is 2121321011. The next prime is 2121321053. The reversal of 2121321024 is 4201231212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1117698624 + 1003622400 = 33432^2 + 31680^2 .

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 = 2121320988 and 2121321006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198112 + ... + 208544.

Almost surely, 2^2121321024 is an apocalyptic number.

2121321024 is a gapful number since it is divisible by the number (24) 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 2121321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049096518).

2121321024 is an abundant number, since it is smaller than the sum of its proper divisors (3976872012).

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

2121321024 is a wasteful number, since it uses less digits than its factorization.

2121321024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10804 (or 10791 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2121321024 is about 46057.8009027787. The cubic root of 2121321024 is about 1284.8984308078.

Adding to 2121321024 its reverse (4201231212), we get a palindrome (6322552236).

The spelling of 2121321024 in words is "two billion, one hundred twenty-one million, three hundred twenty-one thousand, twenty-four".