2012641176 has 128 divisors (see below), whose sum is σ = 6209280000. Its totient is φ = 529390080.

The previous prime is 2012641123. The next prime is 2012641181. The reversal of 2012641176 is 6711462102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005825 + ... + 1007823.

It is an arithmetic number, because the mean of its divisors is an integer number (48510000).

Almost surely, 2^2012641176 is an apocalyptic number.

2012641176 is a gapful number since it is divisible by the number (26) 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 2012641176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640000).

2012641176 is an abundant number, since it is smaller than the sum of its proper divisors (4196638824).

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

2012641176 is a wasteful number, since it uses less digits than its factorization.

2012641176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2012641176 is about 44862.4695709008. The cubic root of 2012641176 is about 1262.5699574475.

The spelling of 2012641176 in words is "two billion, twelve million, six hundred forty-one thousand, one hundred seventy-six".