2914380224 has 56 divisors (see below), whose sum is σ = 6637068768. Its totient is φ = 1243791360.

The previous prime is 2914380223. The next prime is 2914380233. The reversal of 2914380224 is 4220834192.

It is a Cunningham number, because it is equal to 53985²-1.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-4 number, since 4×2914380224⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2914380223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94472 + ... + 121464.

Almost surely, 2^2914380224 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 2914380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318534384).

2914380224 is an abundant number, since it is smaller than the sum of its proper divisors (3722688544).

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

2914380224 is a wasteful number, since it uses less digits than its factorization.

2914380224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27253 (or 27243 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2914380224 is about 53984.9999907382. Note that the first 5 decimals coincide. The cubic root of 2914380224 is about 1428.3963675160.

The spelling of 2914380224 in words is "two billion, nine hundred fourteen million, three hundred eighty thousand, two hundred twenty-four".