2764029345 has 128 divisors (see below), whose sum is σ = 5733089280. Its totient is φ = 1103911680.

The previous prime is 2764029343. The next prime is 2764029349. The reversal of 2764029345 is 5439204672.

It is not a de Polignac number, because 2764029345 - 2¹ = 2764029343 is a prime.

It is a super-3 number, since 3×2764029345³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2764029297 and 2764029306.

It is not an unprimeable number, because it can be changed into a prime (2764029343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3202384 + ... + 3203246.

It is an arithmetic number, because the mean of its divisors is an integer number (44789760).

Almost surely, 2^2764029345 is an apocalyptic number.

It is an amenable number.

2764029345 is an abundant number, since it is smaller than the sum of its proper divisors (2969059935).

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

2764029345 is a wasteful number, since it uses less digits than its factorization.

2764029345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995.

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 2764029345 is about 52574.0367957417. The cubic root of 2764029345 is about 1403.3980966169.

The spelling of 2764029345 in words is "two billion, seven hundred sixty-four million, twenty-nine thousand, three hundred forty-five".