2706983136 has 144 divisors (see below), whose sum is σ = 9043922160. Its totient is φ = 757186560.

The previous prime is 2706983131. The next prime is 2706983179. The reversal of 2706983136 is 6313896072.

2706983136 is a `hidden beast` number, since 270 + 69 + 8 + 313 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2706983091 and 2706983100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2706983131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8320 + ... + 74048.

It is an arithmetic number, because the mean of its divisors is an integer number (62805015).

Almost surely, 2^2706983136 is an apocalyptic number.

2706983136 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 2706983136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521961080).

2706983136 is an abundant number, since it is smaller than the sum of its proper divisors (6336939024).

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

2706983136 is a wasteful number, since it uses less digits than its factorization.

2706983136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65769 (or 65758 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2706983136 is about 52028.6760930931. The cubic root of 2706983136 is about 1393.6760924003.

The spelling of 2706983136 in words is "two billion, seven hundred six million, nine hundred eighty-three thousand, one hundred thirty-six".