2150382240 has 144 divisors (see below), whose sum is σ = 7657348608. Its totient is φ = 548494848.

The previous prime is 2150382181. The next prime is 2150382251. The reversal of 2150382240 is 422830512.

2150382240 = 396² + 397² + ... + 1867².

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657 + ... + 65583.

It is an arithmetic number, because the mean of its divisors is an integer number (53176032).

Almost surely, 2^2150382240 is an apocalyptic number.

2150382240 is a gapful number since it is divisible by the number (20) 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 2150382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828674304).

2150382240 is an abundant number, since it is smaller than the sum of its proper divisors (5506966368).

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

2150382240 is a wasteful number, since it uses less digits than its factorization.

2150382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64971 (or 64960 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2150382240 is about 46372.2140942181. The cubic root of 2150382240 is about 1290.7393634253.

The spelling of 2150382240 in words is "two billion, one hundred fifty million, three hundred eighty-two thousand, two hundred forty".