2410801056 has 288 divisors, whose sum is σ = 7493810688. Its totient is φ = 761425920.

The previous prime is 2410801027. The next prime is 2410801061. The reversal of 2410801056 is 6501080142.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2410801056² = 11623923463221430272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 17597020 + ... + 17597156.

It is an arithmetic number, because the mean of its divisors is an integer number (26020176).

Almost surely, 2^2410801056 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 2410801056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746905344).

2410801056 is an abundant number, since it is smaller than the sum of its proper divisors (5083009632).

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

2410801056 is a wasteful number, since it uses less digits than its factorization.

2410801056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2410801056 is about 49099.9089204858. The cubic root of 2410801056 is about 1340.8713898550.

Adding to 2410801056 its reverse (6501080142), we get a palindrome (8911881198).

The spelling of 2410801056 in words is "two billion, four hundred ten million, eight hundred one thousand, fifty-six".