2126214144 has 176 divisors, whose sum is σ = 6420047040. Its totient is φ = 694886400.

The previous prime is 2126214119. The next prime is 2126214149. The reversal of 2126214144 is 4414126212.

2126214144 is a `hidden beast` number, since 21 + 2 + 621 + 4 + 14 + 4 = 666.

It is a super-2 number, since 2×2126214144² = 9041573172291305472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126214149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464619 + ... + 1466069.

It is an arithmetic number, because the mean of its divisors is an integer number (36477540).

Almost surely, 2^2126214144 is an apocalyptic number.

2126214144 is a gapful number since it is divisible by the number (24) 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 2126214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210023520).

2126214144 is an abundant number, since it is smaller than the sum of its proper divisors (4293832896).

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

2126214144 is a wasteful number, since it uses less digits than its factorization.

2126214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1509 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2126214144 is about 46110.8896465900. The cubic root of 2126214144 is about 1285.8856040919.

The spelling of 2126214144 in words is "two billion, one hundred twenty-six million, two hundred fourteen thousand, one hundred forty-four".