2066261400 has 720 divisors, whose sum is σ = 8851609800. Its totient is φ = 444165120.

The previous prime is 2066261363. The next prime is 2066261437. The reversal of 2066261400 is 41626602.

It is a happy number.

2066261400 is a `hidden beast` number, since 20 + 6 + 626 + 14 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2066261363) and next prime (2066261437).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 15082132 + ... + 15082268.

Almost surely, 2^2066261400 is an apocalyptic number.

2066261400 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 2066261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425804900).

2066261400 is an abundant number, since it is smaller than the sum of its proper divisors (6785348400).

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

2066261400 is a wasteful number, since it uses less digits than its factorization.

2066261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2066261400 is about 45456.1480990196. The cubic root of 2066261400 is about 1273.6841788501.

The spelling of 2066261400 in words is "two billion, sixty-six million, two hundred sixty-one thousand, four hundred".