2066400 has 216 divisors, whose sum is σ = 8530704. Its totient is φ = 460800.

The previous prime is 2066399. The next prime is 2066419. The reversal of 2066400 is 46602.

2066400 is a `hidden beast` number, since 2 + 0 + 664 + 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 a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50380 + ... + 50420.

It is an arithmetic number, because the mean of its divisors is an integer number (39494).

2^2066400 is an apocalyptic number.

2066400 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 2066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352).

2066400 is an abundant number, since it is smaller than the sum of its proper divisors (6464304).

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

2066400 is a wasteful number, since it uses less digits than its factorization.

2066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

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

The square root of 2066400 is about 1437.4978260853. The cubic root of 2066400 is about 127.3712656802.

The spelling of 2066400 in words is "two million, sixty-six thousand, four hundred".