2012590080 has 312 divisors, whose sum is σ = 7130101680. Its totient is φ = 524943360.

The previous prime is 2012590051. The next prime is 2012590109. The reversal of 2012590080 is 800952102.

It is an interprime number because it is at equal distance from previous prime (2012590051) and next prime (2012590109).

It is a super-2 number, since 2×2012590080² = 8101037660228812800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11243431 + ... + 11243609.

It is an arithmetic number, because the mean of its divisors is an integer number (22852890).

Almost surely, 2^2012590080 is an apocalyptic number.

2012590080 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 2012590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565050840).

2012590080 is an abundant number, since it is smaller than the sum of its proper divisors (5117511600).

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

2012590080 is a wasteful number, since it uses less digits than its factorization.

2012590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2012590080 is about 44861.9000935092. The cubic root of 2012590080 is about 1262.5592728437.

The spelling of 2012590080 in words is "two billion, twelve million, five hundred ninety thousand, eighty".