2981781504 has 448 divisors, whose sum is σ = 10238719680. Its totient is φ = 849346560.

The previous prime is 2981781497. The next prime is 2981781613. The reversal of 2981781504 is 4051871892.

It is a self number, because there is not a number n which added to its sum of digits gives 2981781504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48881634 + ... + 48881694.

It is an arithmetic number, because the mean of its divisors is an integer number (22854285).

Almost surely, 2^2981781504 is an apocalyptic number.

2981781504 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 2981781504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119359840).

2981781504 is an abundant number, since it is smaller than the sum of its proper divisors (7256938176).

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

2981781504 is a wasteful number, since it uses less digits than its factorization.

2981781504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 2981781504 is about 54605.6911319690. The cubic root of 2981781504 is about 1439.3241272691.

The spelling of 2981781504 in words is "two billion, nine hundred eighty-one million, seven hundred eighty-one thousand, five hundred four".