2416795920 has 480 divisors, whose sum is σ = 10465163520. Its totient is φ = 501811200.

The previous prime is 2416795873. The next prime is 2416795957. The reversal of 2416795920 is 295976142.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1828860 + ... + 1830180.

It is an arithmetic number, because the mean of its divisors is an integer number (21802424).

Almost surely, 2^2416795920 is an apocalyptic number.

2416795920 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 2416795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232581760).

2416795920 is an abundant number, since it is smaller than the sum of its proper divisors (8048367600).

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

2416795920 is a wasteful number, since it uses less digits than its factorization.

2416795920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2416795920 is about 49160.9186244521. The cubic root of 2416795920 is about 1341.9819042620.

The spelling of 2416795920 in words is "two billion, four hundred sixteen million, seven hundred ninety-five thousand, nine hundred twenty".