2134407168 has 144 divisors (see below), whose sum is σ = 6310263960. Its totient is φ = 694665216.

The previous prime is 2134407113. The next prime is 2134407169. The reversal of 2134407168 is 8617044312.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134407169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 791230 + ... + 793922.

Almost surely, 2^2134407168 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 2134407168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155131980).

2134407168 is an abundant number, since it is smaller than the sum of its proper divisors (4175856792).

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

2134407168 is a wasteful number, since it uses less digits than its factorization.

2134407168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2134407168 is about 46199.6446739583. The cubic root of 2134407168 is about 1287.5351382373.

The spelling of 2134407168 in words is "two billion, one hundred thirty-four million, four hundred seven thousand, one hundred sixty-eight".