2102329152 has 336 divisors, whose sum is σ = 7600200192. Its totient is φ = 539735040.

The previous prime is 2102329147. The next prime is 2102329153. The reversal of 2102329152 is 2519232012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102329153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4745443 + ... + 4745885.

Almost surely, 2^2102329152 is an apocalyptic number.

2102329152 is a gapful number since it is divisible by the number (22) 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 2102329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800100096).

2102329152 is an abundant number, since it is smaller than the sum of its proper divisors (5497871040).

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

2102329152 is a wasteful number, since it uses less digits than its factorization.

2102329152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2102329152 is about 45851.1630386842. The cubic root of 2102329152 is about 1281.0524287163.

The spelling of 2102329152 in words is "two billion, one hundred two million, three hundred twenty-nine thousand, one hundred fifty-two".