2664161280 has 560 divisors, whose sum is σ = 10561923504. Its totient is φ = 637009920.

The previous prime is 2664161257. The next prime is 2664161287. The reversal of 2664161280 is 821614662.

2664161280 is a `hidden beast` number, since 2 + 6 + 641 + 6 + 1 + 2 + 8 + 0 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1752 × 1320 × 1152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664161287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36495324 + ... + 36495396.

Almost surely, 2^2664161280 is an apocalyptic number.

2664161280 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 2664161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280961752).

2664161280 is an abundant number, since it is smaller than the sum of its proper divisors (7897762224).

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

2664161280 is an equidigital number, since it uses as much as digits as its factorization.

2664161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2664161280 is about 51615.5139468745. The cubic root of 2664161280 is about 1386.2881281009.

The spelling of 2664161280 in words is "two billion, six hundred sixty-four million, one hundred sixty-one thousand, two hundred eighty".