2069416800 has 864 divisors, whose sum is σ = 8884118880. Its totient is φ = 447283200.

The previous prime is 2069416793. The next prime is 2069416807. The reversal of 2069416800 is 86149602.

2069416800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2069416793) and next prime (2069416807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2069416807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39045574 + ... + 39045626.

It is an arithmetic number, because the mean of its divisors is an integer number (10282545).

Almost surely, 2^2069416800 is an apocalyptic number.

2069416800 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 2069416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442059440).

2069416800 is an abundant number, since it is smaller than the sum of its proper divisors (6814702080).

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

2069416800 is a wasteful number, since it uses less digits than its factorization.

2069416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2069416800 is about 45490.8430346152. The cubic root of 2069416800 is about 1274.3321993099.

The spelling of 2069416800 in words is "two billion, sixty-nine million, four hundred sixteen thousand, eight hundred".