2408966560 has 384 divisors, whose sum is σ = 7772889600. Its totient is φ = 685301760.

The previous prime is 2408966557. The next prime is 2408966563. The reversal of 2408966560 is 656698042.

2408966560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2408966557) and next prime (2408966563).

It is a self number, because there is not a number n which added to its sum of digits gives 2408966560.

It is not an unprimeable number, because it can be changed into a prime (2408966563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27066996 + ... + 27067084.

It is an arithmetic number, because the mean of its divisors is an integer number (20241900).

Almost surely, 2^2408966560 is an apocalyptic number.

2408966560 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 2408966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886444800).

2408966560 is an abundant number, since it is smaller than the sum of its proper divisors (5363923040).

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

2408966560 is a wasteful number, since it uses less digits than its factorization.

2408966560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 2408966560 is about 49081.2241086141. The cubic root of 2408966560 is about 1340.5311920893.

It can be divided in two parts, 240896 and 6560, that added together give a triangular number (247456 = T₇₀₃).

The spelling of 2408966560 in words is "two billion, four hundred eight million, nine hundred sixty-six thousand, five hundred sixty".