2787068680704 has 2560 divisors, whose sum is σ = 11607714201600. Its totient is φ = 638142382080.

The previous prime is 2787068680699. The next prime is 2787068680717. The reversal of 2787068680704 is 4070868607872.

It is a super-2 number, since 2×2787068680704² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24664324552 + ... + 24664324664.

It is an arithmetic number, because the mean of its divisors is an integer number (4534263360).

Almost surely, 2^{2787068680704} is an apocalyptic number.

2787068680704 is a gapful number since it is divisible by the number (24) 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 2787068680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803857100800).

2787068680704 is an abundant number, since it is smaller than the sum of its proper divisors (8820645520896).

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

2787068680704 is a wasteful number, since it uses less digits than its factorization.

2787068680704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 2787068680704 in words is "two trillion, seven hundred eighty-seven billion, sixty-eight million, six hundred eighty thousand, seven hundred four".