2617488820 has 24 divisors (see below), whose sum is σ = 5498040744. Its totient is φ = 1046745216.

The previous prime is 2617488787. The next prime is 2617488821. The reversal of 2617488820 is 288847162.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 537034276 + 2080454544 = 23174^2 + 45612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617488821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86302 + ... + 112618.

It is an arithmetic number, because the mean of its divisors is an integer number (229085031).

Almost surely, 2^2617488820 is an apocalyptic number.

2617488820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2617488820 is an abundant number, since it is smaller than the sum of its proper divisors (2880551924).

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

2617488820 is a wasteful number, since it uses less digits than its factorization.

2617488820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31299 (or 31297 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 2617488820 is about 51161.3997072011. The cubic root of 2617488820 is about 1378.1450994304.

The spelling of 2617488820 in words is "two billion, six hundred seventeen million, four hundred eighty-eight thousand, eight hundred twenty".