2149991424 has 495 divisors, whose sum is σ = 7807341927. Its totient is φ = 587575296.

The previous prime is 2149991407. The next prime is 2149991471. The reversal of 2149991424 is 4241999412.

It is a happy number.

The square root of 2149991424 is 46368.

It is a perfect power (a square), and thus also a powerful number.

2149991424 is a `hidden beast` number, since 214 + 9 + 9 + 9 + 1 + 424 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2149991424.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 93477877 + ... + 93477899.

Almost surely, 2^2149991424 is an apocalyptic number.

2149991424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2149991424 is the 46368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149991424

2149991424 is an abundant number, since it is smaller than the sum of its proper divisors (5657350503).

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

2149991424 is an equidigital number, since it uses as much as digits as its factorization.

2149991424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 35 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The cubic root of 2149991424 is about 1290.6611645904.

Multiplying 2149991424 by its product of digits (186624), we get a square (401239999512576 = 20030976²).

The spelling of 2149991424 in words is "two billion, one hundred forty-nine million, nine hundred ninety-one thousand, four hundred twenty-four".