2687186461696 has 99 divisors (see below), whose sum is σ = 5905752273057. Its totient is φ = 1221186109440.

The previous prime is 2687186461633. The next prime is 2687186461727. The reversal of 2687186461696 is 6961646817862.

The square root of 2687186461696 is 1639264.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 323169510400 + 2364016951296 = 568480^2 + 1537536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 577018600 + ... + 577023256.

Almost surely, 2^{2687186461696} is an apocalyptic number.

2687186461696 is the 1639264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687186461696

2687186461696 is an abundant number, since it is smaller than the sum of its proper divisors (3218565811361).

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

2687186461696 is an frugal number, since it uses more digits than its factorization.

2687186461696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9356 (or 4670 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 70.

The spelling of 2687186461696 in words is "two trillion, six hundred eighty-seven billion, one hundred eighty-six million, four hundred sixty-one thousand, six hundred ninety-six".