2784349342656 has 448 divisors, whose sum is σ = 9768733685760. Its totient is φ = 760380825600.

The previous prime is 2784349342631. The next prime is 2784349342699. The reversal of 2784349342656 is 6562439434872.

It is a happy number.

2784349342656 is a `hidden beast` number, since 2 + 7 + 8 + 43 + 493 + 42 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2784349342656² (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 a junction number, because it is equal to n+sod(n) for n = 2784349342593 and 2784349342602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 501049830 + ... + 501055386.

It is an arithmetic number, because the mean of its divisors is an integer number (21805209120).

Almost surely, 2^{2784349342656} 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 2784349342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884366842880).

2784349342656 is an abundant number, since it is smaller than the sum of its proper divisors (6984384343104).

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

2784349342656 is a wasteful number, since it uses less digits than its factorization.

2784349342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409 (or 7393 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 2784349342656 in words is "two trillion, seven hundred eighty-four billion, three hundred forty-nine million, three hundred forty-two thousand, six hundred fifty-six".