2072417130 has 256 divisors, whose sum is σ = 6819240960. Its totient is φ = 437059584.

The previous prime is 2072417129. The next prime is 2072417143. The reversal of 2072417130 is 317142702.

It is a happy number.

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 = 2072417094 and 2072417103.

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 127 ways as a sum of consecutive naturals, for example, 1702282 + ... + 1703498.

It is an arithmetic number, because the mean of its divisors is an integer number (26637660).

Almost surely, 2^2072417130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072417130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409620480).

2072417130 is an abundant number, since it is smaller than the sum of its proper divisors (4746823830).

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

2072417130 is a wasteful number, since it uses less digits than its factorization.

2072417130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2072417130 is about 45523.8083863817. The cubic root of 2072417130 is about 1274.9477625657.

Adding to 2072417130 its reverse (317142702), we get a palindrome (2389559832).

The spelling of 2072417130 in words is "two billion, seventy-two million, four hundred seventeen thousand, one hundred thirty".