2012053680 has 720 divisors, whose sum is σ = 8752502304. Its totient is φ = 410296320.

The previous prime is 2012053657. The next prime is 2012053733. The reversal of 2012053680 is 863502102.

2012053680 is a `hidden beast` number, since 2 + 0 + 120 + 536 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2012053680² = 8096720022403084800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18804187 + ... + 18804293.

Almost surely, 2^2012053680 is an apocalyptic number.

2012053680 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 2012053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376251152).

2012053680 is an abundant number, since it is smaller than the sum of its proper divisors (6740448624).

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

2012053680 is a wasteful number, since it uses less digits than its factorization.

2012053680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2012053680 is about 44855.9213482457. The cubic root of 2012053680 is about 1262.4470961722.

Adding to 2012053680 its reverse (863502102), we get a palindrome (2875555782).

The spelling of 2012053680 in words is "two billion, twelve million, fifty-three thousand, six hundred eighty".