2617996464 has 220 divisors, whose sum is σ = 8105492376. Its totient is φ = 816293376.

The previous prime is 2617996441. The next prime is 2617996483. The reversal of 2617996464 is 4646997162.

It is a happy number.

2617996464 is a `hidden beast` number, since 2 + 6 + 179 + 9 + 6 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2617996464.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 16061247 + ... + 16061409.

Almost surely, 2^2617996464 is an apocalyptic number.

2617996464 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 2617996464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052746188).

2617996464 is an abundant number, since it is smaller than the sum of its proper divisors (5487495912).

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

2617996464 is an equidigital number, since it uses as much as digits as its factorization.

2617996464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 2617996464 is about 51166.3606679232. The cubic root of 2617996464 is about 1378.2341876005.

The spelling of 2617996464 in words is "two billion, six hundred seventeen million, nine hundred ninety-six thousand, four hundred sixty-four".