2617671168 has 400 divisors, whose sum is σ = 9126273024. Its totient is φ = 731566080.

The previous prime is 2617671137. The next prime is 2617671179. The reversal of 2617671168 is 8611767162.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20611521 + ... + 20611647.

Almost surely, 2^2617671168 is an apocalyptic number.

2617671168 is a gapful number since it is divisible by the number (28) 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 2617671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563136512).

2617671168 is an abundant number, since it is smaller than the sum of its proper divisors (6508601856).

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

2617671168 is an equidigital number, since it uses as much as digits as its factorization.

2617671168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 2617671168 is about 51163.1817618881. The cubic root of 2617671168 is about 1378.1771016259.

It can be divided in two parts, 26176 and 71168, that added together give a square (97344 = 312²).

The spelling of 2617671168 in words is "two billion, six hundred seventeen million, six hundred seventy-one thousand, one hundred sixty-eight".