2687997312 has 960 divisors, whose sum is σ = 11227764240. Its totient is φ = 627056640.

The previous prime is 2687997311. The next prime is 2687997353. The reversal of 2687997312 is 2137997862.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687997311) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72648558 + ... + 72648594.

Almost surely, 2^2687997312 is an apocalyptic number.

2687997312 is a gapful number since it is divisible by the number (22) 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 2687997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613882120).

2687997312 is an abundant number, since it is smaller than the sum of its proper divisors (8539766928).

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

2687997312 is a wasteful number, since it uses less digits than its factorization.

2687997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 2687997312 is about 51845.8996642936. The cubic root of 2687997312 is about 1390.4101944842.

It can be divided in two parts, 2687 and 997312, that added together give a palindrome (999999).

The spelling of 2687997312 in words is "two billion, six hundred eighty-seven million, nine hundred ninety-seven thousand, three hundred twelve".