2475417672 has 288 divisors, whose sum is σ = 8714160000. Its totient is φ = 652530816.

The previous prime is 2475417653. The next prime is 2475417689. The reversal of 2475417672 is 2767145742.

2475417672 is a `hidden beast` number, since 2 + 47 + 541 + 7 + 67 + 2 = 666.

It is a super-2 number, since 2×2475417672² = 12255385301699799168, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1237329 + ... + 1239327.

It is an arithmetic number, because the mean of its divisors is an integer number (30257500).

Almost surely, 2^2475417672 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 2475417672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357080000).

2475417672 is an abundant number, since it is smaller than the sum of its proper divisors (6238742328).

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

2475417672 is a wasteful number, since it uses less digits than its factorization.

2475417672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2024 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 2475417672 is about 49753.5694397899. The cubic root of 2475417672 is about 1352.7457007529.

The spelling of 2475417672 in words is "two billion, four hundred seventy-five million, four hundred seventeen thousand, six hundred seventy-two".