2617939872 has 192 divisors, whose sum is σ = 7879576320. Its totient is φ = 845107200.

The previous prime is 2617939859. The next prime is 2617939927. The reversal of 2617939872 is 2789397162.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 9316372 + ... + 9316652.

It is an arithmetic number, because the mean of its divisors is an integer number (41039460).

Almost surely, 2^2617939872 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 2617939872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939788160).

2617939872 is an abundant number, since it is smaller than the sum of its proper divisors (5261636448).

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

2617939872 is a wasteful number, since it uses less digits than its factorization.

2617939872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 590 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 2617939872 is about 51165.8076453407. The cubic root of 2617939872 is about 1378.2242566486.

The spelling of 2617939872 in words is "two billion, six hundred seventeen million, nine hundred thirty-nine thousand, eight hundred seventy-two".