2069928000 has 672 divisors, whose sum is σ = 8920154880. Its totient is φ = 460339200.

The previous prime is 2069927989. The next prime is 2069928013. The reversal of 2069928000 is 8299602.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55943982 + ... + 55944018.

It is an arithmetic number, because the mean of its divisors is an integer number (13274040).

Almost surely, 2^2069928000 is an apocalyptic number.

2069928000 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 2069928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460077440).

2069928000 is an abundant number, since it is smaller than the sum of its proper divisors (6850226880).

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

2069928000 is an equidigital number, since it uses as much as digits as its factorization.

2069928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2069928000 is about 45496.4614008606. The cubic root of 2069928000 is about 1274.4371217832.

The spelling of 2069928000 in words is "two billion, sixty-nine million, nine hundred twenty-eight thousand".