2967041385 has 72 divisors (see below), whose sum is σ = 6526443456. Its totient is φ = 1233046080.

The previous prime is 2967041369. The next prime is 2967041411. The reversal of 2967041385 is 5831407692.

2967041385 is a `hidden beast` number, since 2 + 96 + 70 + 413 + 85 = 666.

2967041385 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2967041385 - 2⁴ = 2967041369 is a prime.

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

2967041385 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2967041385.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36909 + ... + 85418.

It is an arithmetic number, because the mean of its divisors is an integer number (90645048).

It is a 1-persistent number, because it is pandigital, but 2⋅2967041385 = 5934082770 is not.

Almost surely, 2^2967041385 is an apocalyptic number.

It is an amenable number.

2967041385 is an abundant number, since it is smaller than the sum of its proper divisors (3559402071).

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

2967041385 is a wasteful number, since it uses less digits than its factorization.

2967041385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122363 (or 122353 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2967041385 is about 54470.5552110496. Note that the first 3 decimals coincide. The cubic root of 2967041385 is about 1436.9484932644.

The spelling of 2967041385 in words is "two billion, nine hundred sixty-seven million, forty-one thousand, three hundred eighty-five".