2687510016 has 120 divisors (see below), whose sum is σ = 8043979944. Its totient is φ = 895795200.

The previous prime is 2687510009. The next prime is 2687510027. The reversal of 2687510016 is 6100157862.

It is a super-3 number, since 3×2687510016³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 113616 + ... + 135216.

Almost surely, 2^2687510016 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 2687510016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021989972).

2687510016 is an abundant number, since it is smaller than the sum of its proper divisors (5356469928).

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

2687510016 is an frugal number, since it uses more digits than its factorization.

2687510016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21634 (or 21606 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2687510016 is about 51841.1999861114. The cubic root of 2687510016 is about 1390.3261688207.

Adding to 2687510016 its reverse (6100157862), we get a palindrome (8787667878).

The spelling of 2687510016 in words is "two billion, six hundred eighty-seven million, five hundred ten thousand, sixteen".