2106561460 has 72 divisors (see below), whose sum is σ = 4719668184. Its totient is φ = 789626880.

The previous prime is 2106561439. The next prime is 2106561461. The reversal of 2106561460 is 641656012.

It can be written as a sum of positive squares in 12 ways, for example, as 168272784 + 1938288676 = 12972^2 + 44026^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106561461) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1623532 + ... + 1624828.

It is an arithmetic number, because the mean of its divisors is an integer number (65550947).

Almost surely, 2^2106561460 is an apocalyptic number.

2106561460 is a gapful number since it is divisible by the number (20) 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 2106561460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359834092).

2106561460 is an abundant number, since it is smaller than the sum of its proper divisors (2613106724).

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

2106561460 is a wasteful number, since it uses less digits than its factorization.

2106561460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2106561460 is about 45897.2925127398. The cubic root of 2106561460 is about 1281.9115035497.

The spelling of 2106561460 in words is "two billion, one hundred six million, five hundred sixty-one thousand, four hundred sixty".