2072706560 has 80 divisors (see below), whose sum is σ = 5141188800. Its totient is φ = 800464896.

The previous prime is 2072706557. The next prime is 2072706569. The reversal of 2072706560 is 656072702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2072706560² = 8592224967734067200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2072706560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072706569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60281 + ... + 88199.

It is an arithmetic number, because the mean of its divisors is an integer number (64264860).

Almost surely, 2^2072706560 is an apocalyptic number.

2072706560 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 2072706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570594400).

2072706560 is an abundant number, since it is smaller than the sum of its proper divisors (3068482240).

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

2072706560 is an equidigital number, since it uses as much as digits as its factorization.

2072706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27971 (or 27955 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 2072706560 is about 45526.9871614628. The cubic root of 2072706560 is about 1275.0071120967.

The spelling of 2072706560 in words is "two billion, seventy-two million, seven hundred six thousand, five hundred sixty".