2134439424 has 400 divisors, whose sum is σ = 7112076048. Its totient is φ = 633028608.

The previous prime is 2134439393. The next prime is 2134439429. The reversal of 2134439424 is 4249344312.

2134439424 is a `hidden beast` number, since 213 + 4 + 439 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (82944) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134439429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19947979 + ... + 19948085.

Almost surely, 2^2134439424 is an apocalyptic number.

2134439424 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 2134439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556038024).

2134439424 is an abundant number, since it is smaller than the sum of its proper divisors (4977636624).

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

2134439424 is a wasteful number, since it uses less digits than its factorization.

2134439424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2134439424 is about 46199.9937662333. The cubic root of 2134439424 is about 1287.5416241170.

The spelling of 2134439424 in words is "two billion, one hundred thirty-four million, four hundred thirty-nine thousand, four hundred twenty-four".