2069971200 has 648 divisors, whose sum is σ = 8441605536. Its totient is φ = 501811200.

The previous prime is 2069971199. The next prime is 2069971213. The reversal of 2069971200 is 21799602.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188179195 + ... + 188179205.

Almost surely, 2^2069971200 is an apocalyptic number.

2069971200 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 2069971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220802768).

2069971200 is an abundant number, since it is smaller than the sum of its proper divisors (6371634336).

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

2069971200 is an frugal number, since it uses more digits than its factorization.

2069971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2069971200 is about 45496.9361605812. The cubic root of 2069971200 is about 1274.4459876794.

The spelling of 2069971200 in words is "two billion, sixty-nine million, nine hundred seventy-one thousand, two hundred".