2029934400 has 168 divisors, whose sum is σ = 7172395104. Its totient is φ = 499660800.

The previous prime is 2029934327. The next prime is 2029934479. The reversal of 2029934400 is 44399202.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 46135 + ... + 78665.

It is an arithmetic number, because the mean of its divisors is an integer number (42692828).

Almost surely, 2^2029934400 is an apocalyptic number.

2029934400 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 2029934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586197552).

2029934400 is an abundant number, since it is smaller than the sum of its proper divisors (5142460704).

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

2029934400 is a wasteful number, since it uses less digits than its factorization.

2029934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32569 (or 32554 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2029934400 is about 45054.7933077048. The cubic root of 2029934400 is about 1266.1757777737.

The spelling of 2029934400 in words is "two billion, twenty-nine million, nine hundred thirty-four thousand, four hundred".