2164260735 has 256 divisors, whose sum is σ = 5151928320. Its totient is φ = 836075520.

The previous prime is 2164260713. The next prime is 2164260743. The reversal of 2164260735 is 5370624612.

2164260735 is a `hidden beast` number, since 2 + 1 + 6 + 42 + 607 + 3 + 5 = 666.

It is not a de Polignac number, because 2164260735 - 2⁹ = 2164260223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2164260735.

It is a congruent number.

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, 8980215 + ... + 8980455.

It is an arithmetic number, because the mean of its divisors is an integer number (20124720).

Almost surely, 2^2164260735 is an apocalyptic number.

2164260735 is an abundant number, since it is smaller than the sum of its proper divisors (2987667585).

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

2164260735 is a wasteful number, since it uses less digits than its factorization.

2164260735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2164260735 is about 46521.6157823436. The cubic root of 2164260735 is about 1293.5102071857.

The spelling of 2164260735 in words is "two billion, one hundred sixty-four million, two hundred sixty thousand, seven hundred thirty-five".