2410871040 has 432 divisors, whose sum is σ = 9053186688. Its totient is φ = 613122048.

The previous prime is 2410871011. The next prime is 2410871059. The reversal of 2410871040 is 401780142.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 2410870995 and 2410871013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7153752 + ... + 7154088.

Almost surely, 2^2410871040 is an apocalyptic number.

2410871040 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 2410871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526593344).

2410871040 is an abundant number, since it is smaller than the sum of its proper divisors (6642315648).

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

2410871040 is an equidigital number, since it uses as much as digits as its factorization.

2410871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2410871040 is about 49100.6215846602. The cubic root of 2410871040 is about 1340.8843646067.

The spelling of 2410871040 in words is "two billion, four hundred ten million, eight hundred seventy-one thousand, forty".