2587349304 has 112 divisors (see below), whose sum is σ = 7590229200. Its totient is φ = 824909184.

The previous prime is 2587349287. The next prime is 2587349329. The reversal of 2587349304 is 4039437852.

2587349304 is a `hidden beast` number, since 2 + 587 + 34 + 9 + 30 + 4 = 666.

2587349304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2587349304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 124492 + ... + 143780.

Almost surely, 2^2587349304 is an apocalyptic number.

2587349304 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 2587349304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795114600).

2587349304 is an abundant number, since it is smaller than the sum of its proper divisors (5002879896).

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

2587349304 is a wasteful number, since it uses less digits than its factorization.

2587349304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19336 (or 19317 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2587349304 is about 50865.9935910034. The cubic root of 2587349304 is about 1372.8350377996.

The spelling of 2587349304 in words is "two billion, five hundred eighty-seven million, three hundred forty-nine thousand, three hundred four".