2705937345 has 144 divisors (see below), whose sum is σ = 5379229440. Its totient is φ = 1254002688.

The previous prime is 2705937341. The next prime is 2705937349. The reversal of 2705937345 is 5437395072.

2705937345 is a `hidden beast` number, since 27 + 0 + 593 + 7 + 34 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2705937341) and next prime (2705937349).

It is not a de Polignac number, because 2705937345 - 2² = 2705937341 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2705937345.

It is not an unprimeable number, because it can be changed into a prime (2705937341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11613349 + ... + 11613581.

It is an arithmetic number, because the mean of its divisors is an integer number (37355760).

Almost surely, 2^2705937345 is an apocalyptic number.

It is an amenable number.

2705937345 is a deficient number, since it is larger than the sum of its proper divisors (2673292095).

2705937345 is a wasteful number, since it uses less digits than its factorization.

2705937345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 2705937345 is about 52018.6249818274. The cubic root of 2705937345 is about 1393.4965959433.

The spelling of 2705937345 in words is "two billion, seven hundred five million, nine hundred thirty-seven thousand, three hundred forty-five".