2072609460 has 144 divisors (see below), whose sum is σ = 6460534080. Its totient is φ = 537546240.

The previous prime is 2072609449. The next prime is 2072609489. The reversal of 2072609460 is 649062702.

It is a happy number.

2072609460 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 609 + 46 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2561536 + ... + 2562344.

It is an arithmetic number, because the mean of its divisors is an integer number (44864820).

Almost surely, 2^2072609460 is an apocalyptic number.

2072609460 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 2072609460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230267040).

2072609460 is an abundant number, since it is smaller than the sum of its proper divisors (4387924620).

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

2072609460 is a wasteful number, since it uses less digits than its factorization.

2072609460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2072609460 is about 45525.9207485142. The cubic root of 2072609460 is about 1274.9872017170.

The spelling of 2072609460 in words is "two billion, seventy-two million, six hundred nine thousand, four hundred sixty".