2687608440000 has 1680 divisors, whose sum is σ = 10873307427840. Its totient is φ = 634233600000.

The previous prime is 2687608439993. The next prime is 2687608440001. The reversal of 2687608440000 is 448067862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2687608440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34020359961 + ... + 34020360039.

Almost surely, 2^{2687608440000} is an apocalyptic number.

2687608440000 is a gapful number since it is divisible by the number (20) 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 2687608440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436653713920).

2687608440000 is an abundant number, since it is smaller than the sum of its proper divisors (8185698987840).

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

2687608440000 is an equidigital number, since it uses as much as digits as its factorization.

2687608440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2687608440000 in words is "two trillion, six hundred eighty-seven billion, six hundred eight million, four hundred forty thousand".