2138532480 has 288 divisors, whose sum is σ = 8591405940. Its totient is φ = 488742912.

The previous prime is 2138532397. The next prime is 2138532491. The reversal of 2138532480 is 842358312.

It can be written as a sum of positive squares in 2 ways, for example, as 1778140224 + 360392256 = 42168^2 + 18984^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 278452 + ... + 286028.

Almost surely, 2^2138532480 is an apocalyptic number.

2138532480 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 2138532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295702970).

2138532480 is an abundant number, since it is smaller than the sum of its proper divisors (6452873460).

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

2138532480 is a wasteful number, since it uses less digits than its factorization.

2138532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7616 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2138532480 is about 46244.2696990665. The cubic root of 2138532480 is about 1288.3641062604.

The spelling of 2138532480 in words is "two billion, one hundred thirty-eight million, five hundred thirty-two thousand, four hundred eighty".