2662505064 has 96 divisors (see below), whose sum is σ = 7357732200. Its totient is φ = 869552640.

The previous prime is 2662505057. The next prime is 2662505077. The reversal of 2662505064 is 4605052662.

2662505064 is a `hidden beast` number, since 26 + 625 + 0 + 5 + 0 + 6 + 4 = 666.

2662505064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1792844964 + 869660100 = 42342^2 + 29490^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1285822 + ... + 1287890.

Almost surely, 2^2662505064 is an apocalyptic number.

2662505064 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 2662505064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678866100).

2662505064 is an abundant number, since it is smaller than the sum of its proper divisors (4695227136).

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

2662505064 is a wasteful number, since it uses less digits than its factorization.

2662505064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2662505064 is about 51599.4676716727. The cubic root of 2662505064 is about 1386.0007995848. Note that the first 3 decimals are identical.

The spelling of 2662505064 in words is "two billion, six hundred sixty-two million, five hundred five thousand, sixty-four".