2981591424 has 256 divisors, whose sum is σ = 10331865600. Its totient is φ = 828610560.

The previous prime is 2981591423. The next prime is 2981591441. The reversal of 2981591424 is 4241951892.

It is a happy number.

2981591424 is digitally balanced in base 2 and base 4, because in such bases 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 2981591424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981591423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893439 + ... + 896769.

It is an arithmetic number, because the mean of its divisors is an integer number (40358850).

Almost surely, 2^2981591424 is an apocalyptic number.

2981591424 is a gapful number since it is divisible by the number (24) 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 2981591424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165932800).

2981591424 is an abundant number, since it is smaller than the sum of its proper divisors (7350274176).

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

2981591424 is a wasteful number, since it uses less digits than its factorization.

2981591424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3380 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 2981591424 is about 54603.9506263054. The cubic root of 2981591424 is about 1439.2935423606.

The spelling of 2981591424 in words is "two billion, nine hundred eighty-one million, five hundred ninety-one thousand, four hundred twenty-four".