2665278720 has 486 divisors, whose sum is σ = 10262677698. Its totient is φ = 638337024.

The previous prime is 2665278703. The next prime is 2665278809. The reversal of 2665278720 is 278725662.

2665278720 is a `hidden beast` number, since 26 + 6 + 527 + 87 + 20 = 666.

2665278720 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 9 ways, for example, as 402564096 + 2262714624 = 20064^2 + 47568^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 72034542 + ... + 72034578.

Almost surely, 2^2665278720 is an apocalyptic number.

2665278720 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 2665278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131338849).

2665278720 is an abundant number, since it is smaller than the sum of its proper divisors (7597398978).

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

2665278720 is a wasteful number, since it uses less digits than its factorization.

2665278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2665278720 is about 51626.3374645151. The cubic root of 2665278720 is about 1386.4819198316.

Multiplying 2665278720 by its sum of digits (45), we get a square (119937542400 = 346320²).

2665278720 divided by its sum of digits (45) gives a square (59228416 = 7696²).

The spelling of 2665278720 in words is "two billion, six hundred sixty-five million, two hundred seventy-eight thousand, seven hundred twenty".