2066142624 has 432 divisors, whose sum is σ = 7191882432. Its totient is φ = 516612096.

The previous prime is 2066142623. The next prime is 2066142629. The reversal of 2066142624 is 4262416602.

It is not an unprimeable number, because it can be changed into a prime (2066142623) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18284392 + ... + 18284504.

It is an arithmetic number, because the mean of its divisors is an integer number (16647876).

Almost surely, 2^2066142624 is an apocalyptic number.

2066142624 is a gapful number since it is divisible by the number (24) 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 2066142624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595941216).

2066142624 is an abundant number, since it is smaller than the sum of its proper divisors (5125739808).

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

2066142624 is a wasteful number, since it uses less digits than its factorization.

2066142624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2066142624 is about 45454.8415903081. The cubic root of 2066142624 is about 1273.6597730947.

The spelling of 2066142624 in words is "two billion, sixty-six million, one hundred forty-two thousand, six hundred twenty-four".