2102532096 has 384 divisors, whose sum is σ = 7044710400. Its totient is φ = 544112640.

The previous prime is 2102532073. The next prime is 2102532109. The reversal of 2102532096 is 6902352012.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25331671 + ... + 25331753.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 2^2102532096 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 2102532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522355200).

2102532096 is an abundant number, since it is smaller than the sum of its proper divisors (4942178304).

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

2102532096 is a wasteful number, since it uses less digits than its factorization.

2102532096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2102532096 is about 45853.3760589120. The cubic root of 2102532096 is about 1281.0936486396.

The spelling of 2102532096 in words is "two billion, one hundred two million, five hundred thirty-two thousand, ninety-six".