2687896513000 has 32 divisors (see below), whose sum is σ = 6289677842760. Its totient is φ = 1075158604800.

The previous prime is 2687896512953. The next prime is 2687896513007. The reversal of 2687896513000 is 3156987862.

It can be written as a sum of positive squares in 4 ways, for example, as 1405263251844 + 1282633261156 = 1185438^2 + 1132534^2 .

It is not an unprimeable number, because it can be changed into a prime (2687896513007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1343947257 + ... + 1343949256.

Almost surely, 2^{2687896513000} is an apocalyptic number.

2687896513000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2687896513000 is an abundant number, since it is smaller than the sum of its proper divisors (3601781329760).

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

2687896513000 is a wasteful number, since it uses less digits than its factorization.

2687896513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687896534 (or 2687896520 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 2687896513000 in words is "two trillion, six hundred eighty-seven billion, eight hundred ninety-six million, five hundred thirteen thousand".