2034354168 has 576 divisors, whose sum is σ = 7682688000. Its totient is φ = 479001600.

The previous prime is 2034354143. The next prime is 2034354169. The reversal of 2034354168 is 8614534302.

2034354168 is a `hidden beast` number, since 20 + 34 + 3 + 541 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034354169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22857868 + ... + 22857956.

It is an arithmetic number, because the mean of its divisors is an integer number (13338000).

Almost surely, 2^2034354168 is an apocalyptic number.

2034354168 is a gapful number since it is divisible by the number (28) 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 2034354168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841344000).

2034354168 is an abundant number, since it is smaller than the sum of its proper divisors (5648333832).

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

2034354168 is a wasteful number, since it uses less digits than its factorization.

2034354168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2034354168 is about 45103.8154483631. The cubic root of 2034354168 is about 1267.0940581150.

The spelling of 2034354168 in words is "two billion, thirty-four million, three hundred fifty-four thousand, one hundred sixty-eight".