2029192704 has 720 divisors, whose sum is σ = 8004934080. Its totient is φ = 487710720.

The previous prime is 2029192703. The next prime is 2029192721. The reversal of 2029192704 is 4072919202.

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 (2029192703) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47190507 + ... + 47190549.

It is an arithmetic number, because the mean of its divisors is an integer number (11117964).

Almost surely, 2^2029192704 is an apocalyptic number.

2029192704 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 2029192704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002467040).

2029192704 is an abundant number, since it is smaller than the sum of its proper divisors (5975741376).

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

2029192704 is a wasteful number, since it uses less digits than its factorization.

2029192704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2029192704 is about 45046.5615113962. The cubic root of 2029192704 is about 1266.0215475170.

The spelling of 2029192704 in words is "two billion, twenty-nine million, one hundred ninety-two thousand, seven hundred four".