2887413984 has 216 divisors, whose sum is σ = 10287065880. Its totient is φ = 761467392.

The previous prime is 2887413973. The next prime is 2887414003. The reversal of 2887413984 is 4893147882.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2887413984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175587 + ... + 191325.

It is an arithmetic number, because the mean of its divisors is an integer number (47625305).

Almost surely, 2^2887413984 is an apocalyptic number.

2887413984 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 2887413984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143532940).

2887413984 is an abundant number, since it is smaller than the sum of its proper divisors (7399651896).

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

2887413984 is a wasteful number, since it uses less digits than its factorization.

2887413984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782 (or 15764 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 2887413984 is about 53734.6627792526. The cubic root of 2887413984 is about 1423.9771437227.

The spelling of 2887413984 in words is "two billion, eight hundred eighty-seven million, four hundred thirteen thousand, nine hundred eighty-four".