2659884480 has 560 divisors, whose sum is σ = 10887212160. Its totient is φ = 609638400.

The previous prime is 2659884449. The next prime is 2659884503. The reversal of 2659884480 is 844889562.

2659884480 is a `hidden beast` number, since 2 + 6 + 598 + 8 + 4 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5417035 + ... + 5417525.

Almost surely, 2^2659884480 is an apocalyptic number.

2659884480 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 2659884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443606080).

2659884480 is an abundant number, since it is smaller than the sum of its proper divisors (8227327680).

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

2659884480 is a wasteful number, since it uses less digits than its factorization.

2659884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2659884480 is about 51574.0679023868. The cubic root of 2659884480 is about 1385.5459242284.

The spelling of 2659884480 in words is "two billion, six hundred fifty-nine million, eight hundred eighty-four thousand, four hundred eighty".