2687066420256 has 192 divisors, whose sum is σ = 7903408343040. Its totient is φ = 888152428800.

The previous prime is 2687066420219. The next prime is 2687066420287. The reversal of 2687066420256 is 6520246607862.

It is a happy number.

2687066420256 is a `hidden beast` number, since 268 + 70 + 6 + 64 + 2 + 0 + 256 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73432941 + ... + 73469523.

It is an arithmetic number, because the mean of its divisors is an integer number (41163585120).

Almost surely, 2^{2687066420256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687066420256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951704171520).

2687066420256 is an abundant number, since it is smaller than the sum of its proper divisors (5216341922784).

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

2687066420256 is a wasteful number, since it uses less digits than its factorization.

2687066420256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37316 (or 37302 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2687066420256 in words is "two trillion, six hundred eighty-seven billion, sixty-six million, four hundred twenty thousand, two hundred fifty-six".