2069964000 has 288 divisors, whose sum is σ = 7913191104. Its totient is φ = 509414400.

The previous prime is 2069963999. The next prime is 2069964031. The reversal of 2069964000 is 4699602.

2069964000 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 9 + 640 + 0 + 0 = 666.

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

It is a super-2 number, since 2×2069964000² = 8569501922592000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465789 + ... + 470211.

It is an arithmetic number, because the mean of its divisors is an integer number (27476358).

Almost surely, 2^2069964000 is an apocalyptic number.

2069964000 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 2069964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956595552).

2069964000 is an abundant number, since it is smaller than the sum of its proper divisors (5843227104).

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

2069964000 is a wasteful number, since it uses less digits than its factorization.

2069964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2069964000 is about 45496.8570343051. The cubic root of 2069964000 is about 1274.4445100386. Note that the first 3 decimals are identical.

The spelling of 2069964000 in words is "two billion, sixty-nine million, nine hundred sixty-four thousand".