2981417456 has 80 divisors (see below), whose sum is σ = 6022471680. Its totient is φ = 1429021440.

The previous prime is 2981417447. The next prime is 2981417473. The reversal of 2981417456 is 6547141892.

It is a happy number.

2981417456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2981417456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8304605 + ... + 8304963.

It is an arithmetic number, because the mean of its divisors is an integer number (75280896).

Almost surely, 2^2981417456 is an apocalyptic number.

It is an amenable number.

2981417456 is an abundant number, since it is smaller than the sum of its proper divisors (3041054224).

2981417456 is a wasteful number, since it uses less digits than its factorization.

2981417456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 2981417456 is about 54602.3576047775. The cubic root of 2981417456 is about 1439.2655488214.

The spelling of 2981417456 in words is "two billion, nine hundred eighty-one million, four hundred seventeen thousand, four hundred fifty-six".