2012376960 has 320 divisors, whose sum is σ = 7842106800. Its totient is φ = 487710720.

The previous prime is 2012376943. The next prime is 2012376991. The reversal of 2012376960 is 696732102.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×2012376960³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 568476 + ... + 572004.

Almost surely, 2^2012376960 is an apocalyptic number.

2012376960 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 2012376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921053400).

2012376960 is an abundant number, since it is smaller than the sum of its proper divisors (5829729840).

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

2012376960 is a wasteful number, since it uses less digits than its factorization.

2012376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2012376960 is about 44859.5247411294. The cubic root of 2012376960 is about 1262.5147057072.

The spelling of 2012376960 in words is "two billion, twelve million, three hundred seventy-six thousand, nine hundred sixty".