2124065034 has 216 divisors, whose sum is σ = 6133959468. Its totient is φ = 526417920.

The previous prime is 2124064961. The next prime is 2124065057. The reversal of 2124065034 is 4305604212.

2124065034 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 0 + 650 + 3 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1720175625 + 403889409 = 41475^2 + 20097^2 .

It is a super-2 number, since 2×2124065034² = 9023304537322842312, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2124064989 and 2124065007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3313354 + ... + 3313994.

Almost surely, 2^2124065034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124065034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066979734).

2124065034 is an abundant number, since it is smaller than the sum of its proper divisors (4009894434).

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

2124065034 is a wasteful number, since it uses less digits than its factorization.

2124065034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2124065034 is about 46087.5800406140. The cubic root of 2124065034 is about 1285.4522138756.

Adding to 2124065034 its reverse (4305604212), we get a palindrome (6429669246).

The spelling of 2124065034 in words is "two billion, one hundred twenty-four million, sixty-five thousand, thirty-four".