2706093936 has 240 divisors, whose sum is σ = 9643757760. Its totient is φ = 688988160.

The previous prime is 2706093917. The next prime is 2706093937. The reversal of 2706093936 is 6393906072.

2706093936 is a `hidden beast` number, since 2 + 7 + 0 + 609 + 3 + 9 + 36 = 666.

2706093936 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2706093891 and 2706093900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2706093937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376456 + ... + 383576.

It is an arithmetic number, because the mean of its divisors is an integer number (40182324).

Almost surely, 2^2706093936 is an apocalyptic number.

2706093936 is a gapful number since it is divisible by the number (26) 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 2706093936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821878880).

2706093936 is an abundant number, since it is smaller than the sum of its proper divisors (6937663824).

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

2706093936 is a wasteful number, since it uses less digits than its factorization.

2706093936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7184 (or 7175 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 2706093936 is about 52020.1301036435. The cubic root of 2706093936 is about 1393.5234757005.

The spelling of 2706093936 in words is "two billion, seven hundred six million, ninety-three thousand, nine hundred thirty-six".