2987832672 has 216 divisors, whose sum is σ = 9460963512. Its totient is φ = 893629440.

The previous prime is 2987832599. The next prime is 2987832691. The reversal of 2987832672 is 2762387892.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2891868 + ... + 2892900.

It is an arithmetic number, because the mean of its divisors is an integer number (43800757).

Almost surely, 2^2987832672 is an apocalyptic number.

2987832672 is a gapful number since it is divisible by the number (22) 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 2987832672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730481756).

2987832672 is an abundant number, since it is smaller than the sum of its proper divisors (6473130840).

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

2987832672 is a wasteful number, since it uses less digits than its factorization.

2987832672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1132 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2987832672 is about 54661.0709005962. The cubic root of 2987832672 is about 1440.2971146182.

The spelling of 2987832672 in words is "two billion, nine hundred eighty-seven million, eight hundred thirty-two thousand, six hundred seventy-two".