2417005440 has 256 divisors, whose sum is σ = 8704353600. Its totient is φ = 633692160.

The previous prime is 2417005429. The next prime is 2417005441. The reversal of 2417005440 is 445007142.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2417005441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052934 + ... + 1055226.

Almost surely, 2^2417005440 is an apocalyptic number.

2417005440 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 2417005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352176800).

2417005440 is an abundant number, since it is smaller than the sum of its proper divisors (6287348160).

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

2417005440 is a wasteful number, since it uses less digits than its factorization.

2417005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2417005440 is about 49163.0495392627. The cubic root of 2417005440 is about 1342.0206834187.

The spelling of 2417005440 in words is "two billion, four hundred seventeen million, five thousand, four hundred forty".