2106242048 has 66 divisors (see below), whose sum is σ = 4311755766. Its totient is φ = 1028005888.

The previous prime is 2106242027. The next prime is 2106242053. The reversal of 2106242048 is 8402426012.

It can be written as a sum of positive squares in 3 ways, for example, as 1754604544 + 351637504 = 41888^2 + 18752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2106242048.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10691486 + ... + 10691682.

Almost surely, 2^2106242048 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 2106242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155877883).

2106242048 is an abundant number, since it is smaller than the sum of its proper divisors (2205513718).

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

2106242048 is an frugal number, since it uses more digits than its factorization.

2106242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2106242048 is about 45893.8127420244. The cubic root of 2106242048 is about 1281.8467093940.

The spelling of 2106242048 in words is "two billion, one hundred six million, two hundred forty-two thousand, forty-eight".