2150138880 has 264 divisors, whose sum is σ = 7711867800. Its totient is φ = 553254912.

The previous prime is 2150138873. The next prime is 2150138897. The reversal of 2150138880 is 888310512.

It can be written as a sum of positive squares in 4 ways, for example, as 791184384 + 1358954496 = 28128^2 + 36864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1335516 + ... + 1337124.

Almost surely, 2^2150138880 is an apocalyptic number.

2150138880 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 2150138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855933900).

2150138880 is an abundant number, since it is smaller than the sum of its proper divisors (5561728920).

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

2150138880 is a wasteful number, since it uses less digits than its factorization.

2150138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 2150138880 is about 46369.5900348493. The cubic root of 2150138880 is about 1290.6906703487.

The spelling of 2150138880 in words is "two billion, one hundred fifty million, one hundred thirty-eight thousand, eight hundred eighty".