2069892000 has 288 divisors, whose sum is σ = 8015402304. Its totient is φ = 501696000.

The previous prime is 2069891987. The next prime is 2069892007. The reversal of 2069892000 is 2989602.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2069892007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393387 + ... + 398613.

It is an arithmetic number, because the mean of its divisors is an integer number (27831258).

Almost surely, 2^2069892000 is an apocalyptic number.

2069892000 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 2069892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007701152).

2069892000 is an abundant number, since it is smaller than the sum of its proper divisors (5945510304).

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

2069892000 is a wasteful number, since it uses less digits than its factorization.

2069892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5248 counting only the distinct ones).

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

The square root of 2069892000 is about 45496.0657639757. The cubic root of 2069892000 is about 1274.4297334421.

The spelling of 2069892000 in words is "two billion, sixty-nine million, eight hundred ninety-two thousand".