2612252106 has 80 divisors (see below), whose sum is σ = 6015461760. Its totient is φ = 846780480.

The previous prime is 2612252063. The next prime is 2612252119. The reversal of 2612252106 is 6012522162.

2612252106 is a `hidden beast` number, since 2 + 612 + 25 + 21 + 0 + 6 = 666.

It is a super-2 number, since 2×2612252106² = 13647722130602870472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2612252106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3632815 + ... + 3633533.

It is an arithmetic number, because the mean of its divisors is an integer number (75193272).

Almost surely, 2^2612252106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2612252106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007730880).

2612252106 is an abundant number, since it is smaller than the sum of its proper divisors (3403209654).

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

2612252106 is a wasteful number, since it uses less digits than its factorization.

2612252106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2612252106 is about 51110.1957147495. The cubic root of 2612252106 is about 1377.2254176939.

Adding to 2612252106 its reverse (6012522162), we get a palindrome (8624774268).

The spelling of 2612252106 in words is "two billion, six hundred twelve million, two hundred fifty-two thousand, one hundred six".