2066507040 has 96 divisors (see below), whose sum is σ = 7010248896. Its totient is φ = 508677120.

The previous prime is 2066507039. The next prime is 2066507071. The reversal of 2066507040 is 407056602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2066506989 and 2066507007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159346 + ... + 171825.

It is an arithmetic number, because the mean of its divisors is an integer number (73023426).

Almost surely, 2^2066507040 is an apocalyptic number.

2066507040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2066507040 is an abundant number, since it is smaller than the sum of its proper divisors (4943741856).

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

2066507040 is a wasteful number, since it uses less digits than its factorization.

2066507040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331202 (or 331194 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2066507040 is about 45458.8499634560. The cubic root of 2066507040 is about 1273.7346492930.

The spelling of 2066507040 in words is "two billion, sixty-six million, five hundred seven thousand, forty".