2971161024 has 448 divisors, whose sum is σ = 9613148160. Its totient is φ = 801239040.

The previous prime is 2971161019. The next prime is 2971161031. The reversal of 2971161024 is 4201611792.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 63216169 + ... + 63216215.

It is an arithmetic number, because the mean of its divisors is an integer number (21457920).

Almost surely, 2^2971161024 is an apocalyptic number.

2971161024 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 2971161024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806574080).

2971161024 is an abundant number, since it is smaller than the sum of its proper divisors (6641987136).

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

2971161024 is a wasteful number, since it uses less digits than its factorization.

2971161024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2971161024 is about 54508.3573775618. The cubic root of 2971161024 is about 1437.6132375471.

The spelling of 2971161024 in words is "two billion, nine hundred seventy-one million, one hundred sixty-one thousand, twenty-four".