2102132736 has 266 divisors, whose sum is σ = 6876548292. Its totient is φ = 637009920.

The previous prime is 2102132717. The next prime is 2102132737. The reversal of 2102132736 is 6372312012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (2102132737) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 191102971 + ... + 191102981.

Almost surely, 2^2102132736 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 2102132736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438274146).

2102132736 is an abundant number, since it is smaller than the sum of its proper divisors (4774415556).

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

2102132736 is an frugal number, since it uses more digits than its factorization.

2102132736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2102132736 is about 45849.0211018730. The cubic root of 2102132736 is about 1281.0125321679.

Adding to 2102132736 its reverse (6372312012), we get a palindrome (8474444748).

The spelling of 2102132736 in words is "two billion, one hundred two million, one hundred thirty-two thousand, seven hundred thirty-six".