2010129984 has 84 divisors (see below), whose sum is σ = 5772087516. Its totient is φ = 668832768.

The previous prime is 2010129973. The next prime is 2010130019. The reversal of 2010129984 is 4899210102.

It can be written as a sum of positive squares in 2 ways, for example, as 85377600 + 1924752384 = 9240^2 + 43872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 350242 + ... + 355934.

Almost surely, 2^2010129984 is an apocalyptic number.

2010129984 is a gapful number since it is divisible by the number (24) 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 2010129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886043758).

2010129984 is an abundant number, since it is smaller than the sum of its proper divisors (3761957532).

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

2010129984 is a wasteful number, since it uses less digits than its factorization.

2010129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2010129984 is about 44834.4731651884. The cubic root of 2010129984 is about 1262.0446319575.

The spelling of 2010129984 in words is "two billion, ten million, one hundred twenty-nine thousand, nine hundred eighty-four".