2102032512 has 128 divisors (see below), whose sum is σ = 6336403200. Its totient is φ = 685716480.

The previous prime is 2102032487. The next prime is 2102032571. The reversal of 2102032512 is 2152302012.

2102032512 is a `hidden beast` number, since 210 + 203 + 251 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155962 + ... + 168902.

It is an arithmetic number, because the mean of its divisors is an integer number (49503150).

Almost surely, 2^2102032512 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 2102032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168201600).

2102032512 is an abundant number, since it is smaller than the sum of its proper divisors (4234370688).

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

2102032512 is a wasteful number, since it uses less digits than its factorization.

2102032512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13011 (or 12993 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2102032512 is about 45847.9281102211. The cubic root of 2102032512 is about 1280.9921734408.

Adding to 2102032512 its reverse (2152302012), we get a palindrome (4254334524).

The spelling of 2102032512 in words is "two billion, one hundred two million, thirty-two thousand, five hundred twelve".