2127149024 has 144 divisors (see below), whose sum is σ = 5666349024. Its totient is φ = 764881920.

The previous prime is 2127148999. The next prime is 2127149027. The reversal of 2127149024 is 4209417212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127149027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349334 + ... + 355370.

It is an arithmetic number, because the mean of its divisors is an integer number (39349646).

Almost surely, 2^2127149024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2127149024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833174512).

2127149024 is an abundant number, since it is smaller than the sum of its proper divisors (3539200000).

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

2127149024 is a wasteful number, since it uses less digits than its factorization.

2127149024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2127149024 is about 46121.0258342115. The cubic root of 2127149024 is about 1286.0740411453.

It can be divided in two parts, 2127 and 149024, that added together give a palindrome (151151).

The spelling of 2127149024 in words is "two billion, one hundred twenty-seven million, one hundred forty-nine thousand, twenty-four".