2134214160 has 160 divisors (see below), whose sum is σ = 7435024128. Its totient is φ = 502487040.

The previous prime is 2134214129. The next prime is 2134214167. The reversal of 2134214160 is 614124312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2134214160.

It is not an unprimeable number, because it can be changed into a prime (2134214167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56890 + ... + 86630.

Almost surely, 2^2134214160 is an apocalyptic number.

2134214160 is a gapful number since it is divisible by the number (20) 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 2134214160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717512064).

2134214160 is an abundant number, since it is smaller than the sum of its proper divisors (5300809968).

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

2134214160 is a wasteful number, since it uses less digits than its factorization.

2134214160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29793 (or 29787 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2134214160 is about 46197.5557794999. Note that the first 3 decimals coincide. The cubic root of 2134214160 is about 1287.4963277615.

Adding to 2134214160 its reverse (614124312), we get a palindrome (2748338472).

The spelling of 2134214160 in words is "two billion, one hundred thirty-four million, two hundred fourteen thousand, one hundred sixty".