2887998624 has 288 divisors, whose sum is σ = 10309493376. Its totient is φ = 776355840.

The previous prime is 2887998601. The next prime is 2887998643. The reversal of 2887998624 is 4268997882.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

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 47 ways as a sum of consecutive naturals, for example, 923784 + ... + 926904.

It is an arithmetic number, because the mean of its divisors is an integer number (35796852).

Almost surely, 2^2887998624 is an apocalyptic number.

2887998624 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 2887998624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154746688).

2887998624 is an abundant number, since it is smaller than the sum of its proper divisors (7421494752).

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

2887998624 is a wasteful number, since it uses less digits than its factorization.

2887998624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3150 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 2887998624 is about 53740.1025678217. The cubic root of 2887998624 is about 1424.0732456117.

The spelling of 2887998624 in words is "two billion, eight hundred eighty-seven million, nine hundred ninety-eight thousand, six hundred twenty-four".