2101016736 has 144 divisors (see below), whose sum is σ = 7353650304. Its totient is φ = 554107392.

The previous prime is 2101016711. The next prime is 2101016759. The reversal of 2101016736 is 6376101012.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 13876 + ... + 66291.

It is an arithmetic number, because the mean of its divisors is an integer number (51067016).

Almost surely, 2^2101016736 is an apocalyptic number.

2101016736 is a gapful number since it is divisible by the number (26) 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 2101016736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676825152).

2101016736 is an abundant number, since it is smaller than the sum of its proper divisors (5252633568).

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

2101016736 is a wasteful number, since it uses less digits than its factorization.

2101016736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80203 (or 80192 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2101016736 is about 45836.8491063686. The cubic root of 2101016736 is about 1280.7858000458.

Adding to 2101016736 its reverse (6376101012), we get a palindrome (8477117748).

The spelling of 2101016736 in words is "two billion, one hundred one million, sixteen thousand, seven hundred thirty-six".