2066702400 has 756 divisors, whose sum is σ = 8926990020. Its totient is φ = 451584000.

The previous prime is 2066702383. The next prime is 2066702413. The reversal of 2066702400 is 42076602.

It can be written as a sum of positive squares in 6 ways, for example, as 54641664 + 2012060736 = 7392^2 + 44856^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20462350 + ... + 20462450.

Almost surely, 2^2066702400 is an apocalyptic number.

2066702400 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 2066702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463495010).

2066702400 is an abundant number, since it is smaller than the sum of its proper divisors (6860287620).

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

2066702400 is a wasteful number, since it uses less digits than its factorization.

2066702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2066702400 is about 45460.9986691890. The cubic root of 2066702400 is about 1273.7747860964.

The spelling of 2066702400 in words is "two billion, sixty-six million, seven hundred two thousand, four hundred".