2687058432 has 240 divisors, whose sum is σ = 8349644160. Its totient is φ = 829218816.

The previous prime is 2687058397. The next prime is 2687058443. The reversal of 2687058432 is 2348507862.

2687058432 is a `hidden beast` number, since 2 + 68 + 7 + 0 + 584 + 3 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4114618 + ... + 4115270.

It is an arithmetic number, because the mean of its divisors is an integer number (34790184).

Almost surely, 2^2687058432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687058432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174822080).

2687058432 is an abundant number, since it is smaller than the sum of its proper divisors (5662585728).

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

2687058432 is a wasteful number, since it uses less digits than its factorization.

2687058432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2687058432 is about 51836.8443483976. The cubic root of 2687058432 is about 1390.2482919981.

The spelling of 2687058432 in words is "two billion, six hundred eighty-seven million, fifty-eight thousand, four hundred thirty-two".