2069776800 has 864 divisors, whose sum is σ = 9378149760. Its totient is φ = 436700160.

The previous prime is 2069776789. The next prime is 2069776823. The reversal of 2069776800 is 86779602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159213594 + ... + 159213606.

It is an arithmetic number, because the mean of its divisors is an integer number (10854340).

Almost surely, 2^2069776800 is an apocalyptic number.

2069776800 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 2069776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689074880).

2069776800 is an abundant number, since it is smaller than the sum of its proper divisors (7308372960).

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

2069776800 is an equidigital number, since it uses as much as digits as its factorization.

2069776800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2069776800 is about 45494.7997028232. The cubic root of 2069776800 is about 1274.4060901749.

The spelling of 2069776800 in words is "two billion, sixty-nine million, seven hundred seventy-six thousand, eight hundred".