2987649600 has 504 divisors, whose sum is σ = 11066434560. Its totient is φ = 704471040.

The previous prime is 2987649569. The next prime is 2987649617. The reversal of 2987649600 is 69467892.

It is a happy 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 71 ways as a sum of consecutive naturals, for example, 23524737 + ... + 23524863.

Almost surely, 2^2987649600 is an apocalyptic number.

2987649600 is a gapful number since it is divisible by the number (20) 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 2987649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533217280).

2987649600 is an abundant number, since it is smaller than the sum of its proper divisors (8078784960).

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

2987649600 is a wasteful number, since it uses less digits than its factorization.

2987649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 2987649600 is about 54659.3962645033. The cubic root of 2987649600 is about 1440.2676971454.

The spelling of 2987649600 in words is "two billion, nine hundred eighty-seven million, six hundred forty-nine thousand, six hundred".