2405208960 has 1152 divisors, whose sum is σ = 11427998400. Its totient is φ = 454164480.

The previous prime is 2405208941. The next prime is 2405208961. The reversal of 2405208960 is 698025042.

It is a happy number.

2405208960 is a `hidden beast` number, since 2 + 40 + 520 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405208961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82938226 + ... + 82938254.

Almost surely, 2^2405208960 is an apocalyptic number.

2405208960 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 2405208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713999200).

2405208960 is an abundant number, since it is smaller than the sum of its proper divisors (9022789440).

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

2405208960 is a wasteful number, since it uses less digits than its factorization.

2405208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2405208960 is about 49042.9297656655. The cubic root of 2405208960 is about 1339.8338250902.

The spelling of 2405208960 in words is "two billion, four hundred five million, two hundred eight thousand, nine hundred sixty".