2617712064 has 378 divisors, whose sum is σ = 8742916728. Its totient is φ = 748070400.

The previous prime is 2617712051. The next prime is 2617712081. The reversal of 2617712064 is 4602177162.

It is a super-2 number, since 2×2617712064² = 13704832900022280192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 36869149 + ... + 36869219.

Almost surely, 2^2617712064 is an apocalyptic number.

2617712064 is a gapful number since it is divisible by the number (24) 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 2617712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371458364).

2617712064 is an abundant number, since it is smaller than the sum of its proper divisors (6125204664).

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

2617712064 is a wasteful number, since it uses less digits than its factorization.

2617712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2617712064 is about 51163.5814227268. The cubic root of 2617712064 is about 1378.1842786972.

The spelling of 2617712064 in words is "two billion, six hundred seventeen million, seven hundred twelve thousand, sixty-four".