2985748164 has 81 divisors (see below), whose sum is σ = 8786274861. Its totient is φ = 852415200.

The previous prime is 2985748153. The next prime is 2985748169. The reversal of 2985748164 is 4618475892.

It is a happy number.

The square root of 2985748164 is 54642.

It is a perfect power (a square), and thus also a powerful number.

2985748164 is a `hidden beast` number, since 2 + 9 + 8 + 574 + 8 + 1 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4588164 + 2981160000 = 2142^2 + 54600^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2985748164.

It is not an unprimeable number, because it can be changed into a prime (2985748169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2294314 + ... + 2295614.

Almost surely, 2^2985748164 is an apocalyptic number.

2985748164 is the 54642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985748164

2985748164 is an abundant number, since it is smaller than the sum of its proper divisors (5800526697).

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

2985748164 is a wasteful number, since it uses less digits than its factorization.

2985748164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 1313 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The cubic root of 2985748164 is about 1439.9620881222.

The spelling of 2985748164 in words is "two billion, nine hundred eighty-five million, seven hundred forty-eight thousand, one hundred sixty-four".