2706791984 has 160 divisors (see below), whose sum is σ = 6287930880. Its totient is φ = 1116758016.

The previous prime is 2706791959. The next prime is 2706791987. The reversal of 2706791984 is 4891976072.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2706791987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8816759 + ... + 8817065.

It is an arithmetic number, because the mean of its divisors is an integer number (39299568).

Almost surely, 2^2706791984 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 2706791984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143965440).

2706791984 is an abundant number, since it is smaller than the sum of its proper divisors (3581138896).

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

2706791984 is a wasteful number, since it uses less digits than its factorization.

2706791984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 53.

The square root of 2706791984 is about 52026.8390736935. The cubic root of 2706791984 is about 1393.6432870927.

The spelling of 2706791984 in words is "two billion, seven hundred six million, seven hundred ninety-one thousand, nine hundred eighty-four".