2145003968 has 112 divisors (see below), whose sum is σ = 4628327040. Its totient is φ = 982646784.

The previous prime is 2145003953. The next prime is 2145003977. The reversal of 2145003968 is 8693005412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8974793 + ... + 8975031.

Almost surely, 2^2145003968 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 2145003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314163520).

2145003968 is an abundant number, since it is smaller than the sum of its proper divisors (2483323072).

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

2145003968 is a wasteful number, since it uses less digits than its factorization.

2145003968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 2145003968 is about 46314.1875455027. The cubic root of 2145003968 is about 1289.6623854580.

The spelling of 2145003968 in words is "two billion, one hundred forty-five million, three thousand, nine hundred sixty-eight".