2662641072 has 400 divisors, whose sum is σ = 9618884352. Its totient is φ = 692375040.

The previous prime is 2662641053. The next prime is 2662641089. The reversal of 2662641072 is 2701462662.

2662641072 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 641 + 0 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12619047 + ... + 12619257.

Almost surely, 2^2662641072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2662641072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809442176).

2662641072 is an abundant number, since it is smaller than the sum of its proper divisors (6956243280).

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

2662641072 is a wasteful number, since it uses less digits than its factorization.

2662641072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2662641072 is about 51600.7855754154. The cubic root of 2662641072 is about 1386.0243994130.

The spelling of 2662641072 in words is "two billion, six hundred sixty-two million, six hundred forty-one thousand, seventy-two".