2164561540515 has 256 divisors, whose sum is σ = 4365620582400. Its totient is φ = 1008422092800.

The previous prime is 2164561540409. The next prime is 2164561540541. The reversal of 2164561540515 is 5150451654612.

2164561540515 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 56 + 1 + 540 + 51 + 5 = 666.

It is not a de Polignac number, because 2164561540515 - 2¹⁹ = 2164561016227 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2814774051 + ... + 2814774819.

It is an arithmetic number, because the mean of its divisors is an integer number (17053205400).

Almost surely, 2^{2164561540515} is an apocalyptic number.

2164561540515 is an abundant number, since it is smaller than the sum of its proper divisors (2201059041885).

2164561540515 is a wasteful number, since it uses less digits than its factorization.

2164561540515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 2164561540515 in words is "two trillion, one hundred sixty-four billion, five hundred sixty-one million, five hundred forty thousand, five hundred fifteen".