2134116624 has 80 divisors (see below), whose sum is σ = 5855035968. Its totient is φ = 667508736.

The previous prime is 2134116577. The next prime is 2134116653. The reversal of 2134116624 is 4266114312.

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

It is a junction number, because it is equal to n+sod(n) for n = 2134116591 and 2134116600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279384 + ... + 286920.

Almost surely, 2^2134116624 is an apocalyptic number.

2134116624 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 2134116624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927517984).

2134116624 is an abundant number, since it is smaller than the sum of its proper divisors (3720919344).

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

2134116624 is a wasteful number, since it uses less digits than its factorization.

2134116624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 7906 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2134116624 is about 46196.5001271741. The cubic root of 2134116624 is about 1287.4767141168.

The spelling of 2134116624 in words is "two billion, one hundred thirty-four million, one hundred sixteen thousand, six hundred twenty-four".