2687168532960 has 336 divisors, whose sum is σ = 9534437488800. Its totient is φ = 715363384320.

The previous prime is 2687168532947. The next prime is 2687168532973. The reversal of 2687168532960 is 692358617862.

It is a happy number.

2687168532960 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 1 + 6 + 8 + 532 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2687168532947) and next prime (2687168532973).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 69848130 + ... + 69886590.

It is an arithmetic number, because the mean of its divisors is an integer number (28376302050).

Almost surely, 2^{2687168532960} is an apocalyptic number.

2687168532960 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 2687168532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767218744400).

2687168532960 is an abundant number, since it is smaller than the sum of its proper divisors (6847268955840).

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

2687168532960 is an equidigital number, since it uses as much as digits as its factorization.

2687168532960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39093 (or 39070 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2687168532960 in words is "two trillion, six hundred eighty-seven billion, one hundred sixty-eight million, five hundred thirty-two thousand, nine hundred sixty".