2010512508000 has 96 divisors (see below), whose sum is σ = 6586439015520. Its totient is φ = 536136665600.

The previous prime is 2010512507989. The next prime is 2010512508007. The reversal of 2010512508000 is 8052150102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010512508007) 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, 83759355 + ... + 83783354.

It is an arithmetic number, because the mean of its divisors is an integer number (68608739745).

Almost surely, 2^{2010512508000} is an apocalyptic number.

2010512508000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010512508000 is an abundant number, since it is smaller than the sum of its proper divisors (4575926507520).

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

2010512508000 is a wasteful number, since it uses less digits than its factorization.

2010512508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167542737 (or 167542719 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 2010512508000 its reverse (8052150102), we get a palindrome (2018564658102).

The spelling of 2010512508000 in words is "two trillion, ten billion, five hundred twelve million, five hundred eight thousand".