2145950016 has 112 divisors (see below), whose sum is σ = 6523353984. Its totient is φ = 609878016.

The previous prime is 2145949997. The next prime is 2145950029. The reversal of 2145950016 is 6100595412.

2145950016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 255256 + ... + 263528.

It is an arithmetic number, because the mean of its divisors is an integer number (58244232).

Almost surely, 2^2145950016 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 2145950016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261676992).

2145950016 is an abundant number, since it is smaller than the sum of its proper divisors (4377403968).

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

2145950016 is a wasteful number, since it uses less digits than its factorization.

2145950016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8488 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 2145950016 is about 46324.3997910388. The cubic root of 2145950016 is about 1289.8519582531.

The spelling of 2145950016 in words is "two billion, one hundred forty-five million, nine hundred fifty thousand, sixteen".