2684025780345 has 320 divisors, whose sum is σ = 6256958400000. Its totient is φ = 1068925538304.

The previous prime is 2684025780313. The next prime is 2684025780347. The reversal of 2684025780345 is 5430875204862.

2684025780345 is a `hidden beast` number, since 2 + 6 + 8 + 40 + 257 + 8 + 0 + 345 = 666.

It is not a de Polignac number, because 2684025780345 - 2⁵ = 2684025780313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2684025780291 and 2684025780300.

It is not an unprimeable number, because it can be changed into a prime (2684025780347) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 188358781 + ... + 188373029.

It is an arithmetic number, because the mean of its divisors is an integer number (19552995000).

Almost surely, 2^{2684025780345} is an apocalyptic number.

It is an amenable number.

2684025780345 is an abundant number, since it is smaller than the sum of its proper divisors (3572932619655).

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

2684025780345 is a wasteful number, since it uses less digits than its factorization.

2684025780345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14574 (or 14565 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 2684025780345 in words is "two trillion, six hundred eighty-four billion, twenty-five million, seven hundred eighty thousand, three hundred forty-five".