2981451564 has 288 divisors, whose sum is σ = 9889990656. Its totient is φ = 764225280.

The previous prime is 2981451511. The next prime is 2981451589. The reversal of 2981451564 is 4651541892.

2981451564 is a `hidden beast` number, since 2 + 9 + 81 + 4 + 5 + 1 + 564 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3272269 + ... + 3273179.

Almost surely, 2^2981451564 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 2981451564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944995328).

2981451564 is an abundant number, since it is smaller than the sum of its proper divisors (6908539092).

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

2981451564 is a wasteful number, since it uses less digits than its factorization.

2981451564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 973 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 2981451564 is about 54602.6699347202. The cubic root of 2981451564 is about 1439.2710372938.

The spelling of 2981451564 in words is "two billion, nine hundred eighty-one million, four hundred fifty-one thousand, five hundred sixty-four".