2149681248 has 384 divisors, whose sum is σ = 7478231040. Its totient is φ = 592220160.

The previous prime is 2149681243. The next prime is 2149681279. The reversal of 2149681248 is 8421869412.

It is a super-2 number, since 2×2149681248² = 9242258936005675008, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149681243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15691036 + ... + 15691172.

It is an arithmetic number, because the mean of its divisors is an integer number (19474560).

Almost surely, 2^2149681248 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 2149681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739115520).

2149681248 is an abundant number, since it is smaller than the sum of its proper divisors (5328549792).

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

2149681248 is a wasteful number, since it uses less digits than its factorization.

2149681248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

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

The square root of 2149681248 is about 46364.6551588600. The cubic root of 2149681248 is about 1290.5990943628.

The spelling of 2149681248 in words is "two billion, one hundred forty-nine million, six hundred eighty-one thousand, two hundred forty-eight".