2012570560 has 448 divisors, whose sum is σ = 6603577344. Its totient is φ = 564019200.

The previous prime is 2012570557. The next prime is 2012570579. The reversal of 2012570560 is 650752102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19539469 + ... + 19539571.

It is an arithmetic number, because the mean of its divisors is an integer number (14740128).

Almost surely, 2^2012570560 is an apocalyptic number.

2012570560 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 2012570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301788672).

2012570560 is an abundant number, since it is smaller than the sum of its proper divisors (4591006784).

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

2012570560 is a wasteful number, since it uses less digits than its factorization.

2012570560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 2012570560 is about 44861.6825364364. The cubic root of 2012570560 is about 1262.5551909997. Note that the first 3 decimals are identical.

The spelling of 2012570560 in words is "two billion, twelve million, five hundred seventy thousand, five hundred sixty".