2164741488 has 240 divisors, whose sum is σ = 7498895040. Its totient is φ = 567668736.

The previous prime is 2164741477. The next prime is 2164741517. The reversal of 2164741488 is 8841474612.

2164741488 is a `hidden beast` number, since 2 + 164 + 7 + 4 + 1 + 488 = 666.

It is a super-2 number, since 2×2164741488² = 9372211419736908288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3052878 + ... + 3053586.

It is an arithmetic number, because the mean of its divisors is an integer number (31245396).

Almost surely, 2^2164741488 is an apocalyptic number.

2164741488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164741488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749447520).

2164741488 is an abundant number, since it is smaller than the sum of its proper divisors (5334153552).

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

2164741488 is a wasteful number, since it uses less digits than its factorization.

2164741488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 967 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 2164741488 is about 46526.7824806315. The cubic root of 2164741488 is about 1293.6059770503.

The spelling of 2164741488 in words is "two billion, one hundred sixty-four million, seven hundred forty-one thousand, four hundred eighty-eight".