2641427712 has 432 divisors, whose sum is σ = 9926481600. Its totient is φ = 685117440.

The previous prime is 2641427689. The next prime is 2641427741. The reversal of 2641427712 is 2177241462.

2641427712 is a `hidden beast` number, since 2 + 641 + 4 + 2 + 7 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3725214 + ... + 3725922.

Almost surely, 2^2641427712 is an apocalyptic number.

2641427712 is a gapful number since it is divisible by the number (22) 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 2641427712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963240800).

2641427712 is an abundant number, since it is smaller than the sum of its proper divisors (7285053888).

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

2641427712 is a wasteful number, since it uses less digits than its factorization.

2641427712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 732 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2641427712 is about 51394.8218403372. The cubic root of 2641427712 is about 1382.3337448956. Note that the first 3 decimals are identical.

The spelling of 2641427712 in words is "two billion, six hundred forty-one million, four hundred twenty-seven thousand, seven hundred twelve".