2511416466 has 48 divisors (see below), whose sum is σ = 6168402240. Its totient is φ = 732071520.

The previous prime is 2511416461. The next prime is 2511416489. The reversal of 2511416466 is 6646141152.

2511416466 is a `hidden beast` number, since 2 + 5 + 1 + 1 + 4 + 1 + 646 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2511416466.

It is not an unprimeable number, because it can be changed into a prime (2511416461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277990 + ... + 286881.

It is an arithmetic number, because the mean of its divisors is an integer number (128508380).

Almost surely, 2^2511416466 is an apocalyptic number.

2511416466 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2511416466 is an abundant number, since it is smaller than the sum of its proper divisors (3656985774).

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

2511416466 is a wasteful number, since it uses less digits than its factorization.

2511416466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564911 (or 564908 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2511416466 is about 50114.0346210520. The cubic root of 2511416466 is about 1359.2716085867.

The spelling of 2511416466 in words is "two billion, five hundred eleven million, four hundred sixteen thousand, four hundred sixty-six".