2102937216 has 64 divisors (see below), whose sum is σ = 5604206400. Its totient is φ = 698685440.

The previous prime is 2102937209. The next prime is 2102937223. The reversal of 2102937216 is 6127392012.

It is an interprime number because it is at equal distance from previous prime (2102937209) and next prime (2102937223).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 110620 + ... + 128228.

It is an arithmetic number, because the mean of its divisors is an integer number (87565725).

Almost surely, 2^2102937216 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 2102937216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802103200).

2102937216 is an abundant number, since it is smaller than the sum of its proper divisors (3501269184).

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

2102937216 is a wasteful number, since it uses less digits than its factorization.

2102937216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17937 (or 17925 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2102937216 is about 45857.7934052654. The cubic root of 2102937216 is about 1281.1759245661.

The spelling of 2102937216 in words is "two billion, one hundred two million, nine hundred thirty-seven thousand, two hundred sixteen".