2687391504 has 120 divisors (see below), whose sum is σ = 8619067392. Its totient is φ = 765711360.

The previous prime is 2687391503. The next prime is 2687391523. The reversal of 2687391504 is 4051937862.

2687391504 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

2687391504 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2687391504.

It is not an unprimeable number, because it can be changed into a prime (2687391503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382584 + ... + 389544.

It is a 1-persistent number, because it is pandigital, but 2⋅2687391504 = 5374783008 is not.

Almost surely, 2^2687391504 is an apocalyptic number.

2687391504 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 2687391504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309533696).

2687391504 is an abundant number, since it is smaller than the sum of its proper divisors (5931675888).

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

2687391504 is a wasteful number, since it uses less digits than its factorization.

2687391504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7365 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2687391504 is about 51840.0569444132. The cubic root of 2687391504 is about 1390.3057319657.

The spelling of 2687391504 in words is "two billion, six hundred eighty-seven million, three hundred ninety-one thousand, five hundred four".