2617447920 has 80 divisors (see below), whose sum is σ = 8121384960. Its totient is φ = 697358592.

The previous prime is 2617447919. The next prime is 2617447927. The reversal of 2617447920 is 297447162.

It is a Cunningham number, because it is equal to 51161²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2617447920² = 13702067227824652800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617447927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 302697 + ... + 311223.

It is an arithmetic number, because the mean of its divisors is an integer number (101517312).

Almost surely, 2^2617447920 is an apocalyptic number.

2617447920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2617447920 is an abundant number, since it is smaller than the sum of its proper divisors (5503937040).

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

2617447920 is a wasteful number, since it uses less digits than its factorization.

2617447920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9822 (or 9816 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 2617447920 is about 51160.9999902269. Note that the first 5 decimals coincide. The cubic root of 2617447920 is about 1378.1379212491.

The spelling of 2617447920 in words is "two billion, six hundred seventeen million, four hundred forty-seven thousand, nine hundred twenty".