2781706752 has 240 divisors, whose sum is σ = 9056087040. Its totient is φ = 842434560.

The previous prime is 2781706729. The next prime is 2781706801. The reversal of 2781706752 is 2576071872.

It is a junction number, because it is equal to n+sod(n) for n = 2781706698 and 2781706707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671873 + ... + 1673535.

It is an arithmetic number, because the mean of its divisors is an integer number (37733696).

Almost surely, 2^2781706752 is an apocalyptic number.

2781706752 is a gapful number since it is divisible by the number (22) 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 2781706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528043520).

2781706752 is an abundant number, since it is smaller than the sum of its proper divisors (6274380288).

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

2781706752 is a wasteful number, since it uses less digits than its factorization.

2781706752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 2781706752 is about 52741.8880208132. Note that the first 3 decimals coincide. The cubic root of 2781706752 is about 1406.3835616432.

The spelling of 2781706752 in words is "two billion, seven hundred eighty-one million, seven hundred six thousand, seven hundred fifty-two".