2010139826436 has 81 divisors (see below), whose sum is σ = 5910943401909. Its totient is φ = 574308651168.

The previous prime is 2010139826399. The next prime is 2010139826501. The reversal of 2010139826436 is 6346289310102.

The square root of 2010139826436 is 1417794.

It is a perfect power (a square), and thus also a powerful number.

2010139826436 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 139 + 82 + 6 + 436 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1266502652100 + 743637174336 = 1125390^2 + 862344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2010139826391 and 2010139826400.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 59530470 + ... + 59564226.

Almost surely, 2^{2010139826436} is an apocalyptic number.

2010139826436 is the 1417794-th square number.

It is an amenable number.

2010139826436 is an abundant number, since it is smaller than the sum of its proper divisors (3900803575473).

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

2010139826436 is an frugal number, since it uses more digits than its factorization.

2010139826436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67538 (or 33769 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2010139826436 in words is "two trillion, ten billion, one hundred thirty-nine million, eight hundred twenty-six thousand, four hundred thirty-six".