2887587360 has 768 divisors, whose sum is σ = 12619514880. Its totient is φ = 601620480.

The previous prime is 2887587293. The next prime is 2887587361. The reversal of 2887587360 is 637857882.

2887587360 is a `hidden beast` number, since 28 + 8 + 7 + 587 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2887587297 and 2887587306.

It is not an unprimeable number, because it can be changed into a prime (2887587361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21077212 + ... + 21077348.

It is an arithmetic number, because the mean of its divisors is an integer number (16431660).

Almost surely, 2^2887587360 is an apocalyptic number.

2887587360 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 2887587360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309757440).

2887587360 is an abundant number, since it is smaller than the sum of its proper divisors (9731927520).

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

2887587360 is a wasteful number, since it uses less digits than its factorization.

2887587360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 2887587360 is about 53736.2760153697. The cubic root of 2887587360 is about 1424.0056442565.

The spelling of 2887587360 in words is "two billion, eight hundred eighty-seven million, five hundred eighty-seven thousand, three hundred sixty".