2410881408 has 320 divisors, whose sum is σ = 7989717120. Its totient is φ = 716636160.

The previous prime is 2410881391. The next prime is 2410881449. The reversal of 2410881408 is 8041880142.

It is a happy number.

2410881408 is a `hidden beast` number, since 241 + 0 + 8 + 8 + 1 + 408 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4178016 + ... + 4178592.

It is an arithmetic number, because the mean of its divisors is an integer number (24967866).

Almost surely, 2^2410881408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2410881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994858560).

2410881408 is an abundant number, since it is smaller than the sum of its proper divisors (5578835712).

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

2410881408 is a wasteful number, since it uses less digits than its factorization.

2410881408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2410881408 is about 49100.7271636582. The cubic root of 2410881408 is about 1340.8862867708.

The spelling of 2410881408 in words is "two billion, four hundred ten million, eight hundred eighty-one thousand, four hundred eight".