2072643660 has 96 divisors (see below), whose sum is σ = 6544581120. Its totient is φ = 544446144.

The previous prime is 2072643653. The next prime is 2072643673. The reversal of 2072643660 is 663462702.

It is a happy number.

2072643660 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 643 + 6 + 6 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 7537 + ... + 64823.

It is an arithmetic number, because the mean of its divisors is an integer number (68172720).

Almost surely, 2^2072643660 is an apocalyptic number.

2072643660 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 2072643660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272290560).

2072643660 is an abundant number, since it is smaller than the sum of its proper divisors (4471937460).

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

2072643660 is a wasteful number, since it uses less digits than its factorization.

2072643660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57372 (or 57364 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2072643660 is about 45526.2963571604. The cubic root of 2072643660 is about 1274.9942145066.

The spelling of 2072643660 in words is "two billion, seventy-two million, six hundred forty-three thousand, six hundred sixty".