2138849280 has 240 divisors, whose sum is σ = 7612429440. Its totient is φ = 569769984.

The previous prime is 2138849263. The next prime is 2138849303. The reversal of 2138849280 is 829488312.

2138849280 is a `hidden beast` number, since 2 + 1 + 3 + 88 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211357 + ... + 2212323.

It is an arithmetic number, because the mean of its divisors is an integer number (31718456).

Almost surely, 2^2138849280 is an apocalyptic number.

2138849280 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 2138849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806214720).

2138849280 is an abundant number, since it is smaller than the sum of its proper divisors (5473580160).

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

2138849280 is an frugal number, since it uses more digits than its factorization.

2138849280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2138849280 is about 46247.6948614739. The cubic root of 2138849280 is about 1288.4277220966.

The spelling of 2138849280 in words is "two billion, one hundred thirty-eight million, eight hundred forty-nine thousand, two hundred eighty".