2010057115648 has 96 divisors (see below), whose sum is σ = 4089401316000. Its totient is φ = 987475148800.

The previous prime is 2010057115609. The next prime is 2010057115663. The reversal of 2010057115648 is 8465117500102.

It is a super-3 number, since 3×2010057115648³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2010057115648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338447463 + ... + 338453401.

It is an arithmetic number, because the mean of its divisors is an integer number (42597930375).

Almost surely, 2^{2010057115648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010057115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044700658000).

2010057115648 is an abundant number, since it is smaller than the sum of its proper divisors (2079344200352).

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

2010057115648 is an equidigital number, since it uses as much as digits as its factorization.

2010057115648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821 (or 8801 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 2010057115648 in words is "two trillion, ten billion, fifty-seven million, one hundred fifteen thousand, six hundred forty-eight".