2001076560 has 240 divisors, whose sum is σ = 7945741440. Its totient is φ = 441584640.

The previous prime is 2001076547. The next prime is 2001076573. The reversal of 2001076560 is 656701002.

2001076560 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 7 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2001076547) and next prime (2001076573).

It is a tau number, because it is divible by the number of its divisors (240).

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, 139315 + ... + 153005.

It is an arithmetic number, because the mean of its divisors is an integer number (33107256).

Almost surely, 2^2001076560 is an apocalyptic number.

2001076560 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 2001076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972870720).

2001076560 is an abundant number, since it is smaller than the sum of its proper divisors (5944664880).

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

2001076560 is a wasteful number, since it uses less digits than its factorization.

2001076560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13746 (or 13737 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2001076560 is about 44733.3942374151. The cubic root of 2001076560 is about 1260.1470727794.

Adding to 2001076560 its reverse (656701002), we get a palindrome (2657777562).

The spelling of 2001076560 in words is "two billion, one million, seventy-six thousand, five hundred sixty".