2012638080 has 128 divisors (see below), whose sum is σ = 6753052800. Its totient is φ = 508446720.

The previous prime is 2012638063. The next prime is 2012638097. The reversal of 2012638080 is 808362102.

It is an interprime number because it is at equal distance from previous prime (2012638063) and next prime (2012638097).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8895 + ... + 64065.

It is an arithmetic number, because the mean of its divisors is an integer number (52758225).

Almost surely, 2^2012638080 is an apocalyptic number.

2012638080 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 2012638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376526400).

2012638080 is an abundant number, since it is smaller than the sum of its proper divisors (4740414720).

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

2012638080 is a wasteful number, since it uses less digits than its factorization.

2012638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55212 (or 55200 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2012638080 is about 44862.4350654309. The cubic root of 2012638080 is about 1262.5693100530.

The spelling of 2012638080 in words is "two billion, twelve million, six hundred thirty-eight thousand, eighty".