2012549760 has 768 divisors, whose sum is σ = 8417203200. Its totient is φ = 451215360.

The previous prime is 2012549723. The next prime is 2012549771. The reversal of 2012549760 is 679452102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64920945 + ... + 64920975.

It is an arithmetic number, because the mean of its divisors is an integer number (10959900).

Almost surely, 2^2012549760 is an apocalyptic number.

2012549760 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 2012549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208601600).

2012549760 is an abundant number, since it is smaller than the sum of its proper divisors (6404653440).

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

2012549760 is a wasteful number, since it uses less digits than its factorization.

2012549760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2012549760 is about 44861.4507121649. The cubic root of 2012549760 is about 1262.5508414646.

The spelling of 2012549760 in words is "two billion, twelve million, five hundred forty-nine thousand, seven hundred sixty".