2887367040 has 256 divisors, whose sum is σ = 10828728000. Its totient is φ = 724598784.

The previous prime is 2887367033. The next prime is 2887367047. The reversal of 2887367040 is 407637882.

It is a happy number.

2887367040 is a `hidden beast` number, since 288 + 7 + 367 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2887367033) and next prime (2887367047).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2887367047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 288846 + ... + 298674.

Almost surely, 2^2887367040 is an apocalyptic number.

2887367040 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 2887367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414364000).

2887367040 is an abundant number, since it is smaller than the sum of its proper divisors (7941360960).

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

2887367040 is a wasteful number, since it uses less digits than its factorization.

2887367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9874 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2887367040 is about 53734.2259644633. The cubic root of 2887367040 is about 1423.9694266045.

The spelling of 2887367040 in words is "two billion, eight hundred eighty-seven million, three hundred sixty-seven thousand, forty".