2662427520 has 192 divisors, whose sum is σ = 9306133200. Its totient is φ = 701300736.

The previous prime is 2662427519. The next prime is 2662427527. The reversal of 2662427520 is 257242662.

2662427520 is a `hidden beast` number, since 2 + 6 + 624 + 2 + 7 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2662427527) 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, 475296 + ... + 480864.

Almost surely, 2^2662427520 is an apocalyptic number.

2662427520 is a gapful number since it is divisible by the number (20) 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 2662427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653066600).

2662427520 is an abundant number, since it is smaller than the sum of its proper divisors (6643705680).

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

2662427520 is a wasteful number, since it uses less digits than its factorization.

2662427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2662427520 is about 51598.7162631010. The cubic root of 2662427520 is about 1385.9873439497.

The spelling of 2662427520 in words is "two billion, six hundred sixty-two million, four hundred twenty-seven thousand, five hundred twenty".