2012910640 has 80 divisors (see below), whose sum is σ = 5049114336. Its totient is φ = 741888000.

The previous prime is 2012910637. The next prime is 2012910649. The reversal of 2012910640 is 460192102.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2012910649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717240 + ... + 720040.

Almost surely, 2^2012910640 is an apocalyptic number.

2012910640 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 2012910640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524557168).

2012910640 is an abundant number, since it is smaller than the sum of its proper divisors (3036203696).

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

2012910640 is a wasteful number, since it uses less digits than its factorization.

2012910640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2012910640 is about 44865.4726933752. The cubic root of 2012910640 is about 1262.6263016472.

The spelling of 2012910640 in words is "two billion, twelve million, nine hundred ten thousand, six hundred forty".