2152052240767 has 32 divisors (see below), whose sum is σ = 2643629829120. Its totient is φ = 1723851486720.

The previous prime is 2152052240761. The next prime is 2152052240773. The reversal of 2152052240767 is 7670422502512.

It is an interprime number because it is at equal distance from previous prime (2152052240761) and next prime (2152052240773).

It is a de Polignac number, because none of the positive numbers 2^k-2152052240767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152052240761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929959 + ... + 2273527.

It is an arithmetic number, because the mean of its divisors is an integer number (82613432160).

Almost surely, 2^{2152052240767} is an apocalyptic number.

2152052240767 is a deficient number, since it is larger than the sum of its proper divisors (491577588353).

2152052240767 is a wasteful number, since it uses less digits than its factorization.

2152052240767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344103.

The product of its (nonzero) digits is 470400, while the sum is 43.

The spelling of 2152052240767 in words is "two trillion, one hundred fifty-two billion, fifty-two million, two hundred forty thousand, seven hundred sixty-seven".