2029411200 has 192 divisors, whose sum is σ = 6799564800. Its totient is φ = 531855360.

The previous prime is 2029411177. The next prime is 2029411201. The reversal of 2029411200 is 21149202.

2029411200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029411201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564609 + ... + 568191.

It is an arithmetic number, because the mean of its divisors is an integer number (35414400).

Almost surely, 2^2029411200 is an apocalyptic number.

2029411200 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 2029411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399782400).

2029411200 is an abundant number, since it is smaller than the sum of its proper divisors (4770153600).

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

2029411200 is a wasteful number, since it uses less digits than its factorization.

2029411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2029411200 is about 45048.9866700684. The cubic root of 2029411200 is about 1266.0669860660.

The spelling of 2029411200 in words is "two billion, twenty-nine million, four hundred eleven thousand, two hundred".