2029392000 has 384 divisors, whose sum is σ = 7726071600. Its totient is φ = 508723200.

The previous prime is 2029391993. The next prime is 2029392059. The reversal of 2029392000 is 2939202.

It can be written as a sum of positive squares in 8 ways, for example, as 259338816 + 1770053184 = 16104^2 + 42072^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2447586 + ... + 2448414.

Almost surely, 2^2029392000 is an apocalyptic number.

2029392000 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 2029392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863035800).

2029392000 is an abundant number, since it is smaller than the sum of its proper divisors (5696679600).

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

2029392000 is a wasteful number, since it uses less digits than its factorization.

2029392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2029392000 is about 45048.7735682116. The cubic root of 2029392000 is about 1266.0629933541.

The spelling of 2029392000 in words is "two billion, twenty-nine million, three hundred ninety-two thousand".