2066400000 has 648 divisors, whose sum is σ = 8718379488. Its totient is φ = 460800000.

The previous prime is 2066399999. The next prime is 2066400047. The reversal of 2066400000 is 46602.

2066400000 is a `hidden beast` number, since 2 + 0 + 664 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 50399980 + ... + 50400020.

Almost surely, 2^2066400000 is an apocalyptic number.

2066400000 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 2066400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359189744).

2066400000 is an abundant number, since it is smaller than the sum of its proper divisors (6651979488).

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

2066400000 is an frugal number, since it uses more digits than its factorization.

2066400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2066400000 is about 45457.6726197019. The cubic root of 2066400000 is about 1273.7126568023.

Adding to 2066400000 its reverse (46602), we get a palindrome (2066446602).

The spelling of 2066400000 in words is "two billion, sixty-six million, four hundred thousand".