2666724480 has 576 divisors, whose sum is σ = 11268878400. Its totient is φ = 567668736.

The previous prime is 2666724479. The next prime is 2666724497. The reversal of 2666724480 is 844276662.

2666724480 = T₂₇₉ + T₂₈₀ + ... + T₂₅₂₀.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2666724480² = 14222838904462540800, which contains 22 as substring.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45198691 + ... + 45198749.

It is an arithmetic number, because the mean of its divisors is an integer number (19564025).

Almost surely, 2^2666724480 is an apocalyptic number.

2666724480 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 2666724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634439200).

2666724480 is an abundant number, since it is smaller than the sum of its proper divisors (8602153920).

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

2666724480 is a wasteful number, since it uses less digits than its factorization.

2666724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2666724480 is about 51640.3377215912. The cubic root of 2666724480 is about 1386.7325700105.

The spelling of 2666724480 in words is "two billion, six hundred sixty-six million, seven hundred twenty-four thousand, four hundred eighty".