2608247664 has 120 divisors (see below), whose sum is σ = 8008416000. Its totient is φ = 785877120.

The previous prime is 2608247639. The next prime is 2608247711. The reversal of 2608247664 is 4667428062.

It is a super-2 number, since 2×2608247664² = 13605911753522913792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278937 + ... + 288135.

It is an arithmetic number, because the mean of its divisors is an integer number (66736800).

Almost surely, 2^2608247664 is an apocalyptic number.

2608247664 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 2608247664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004208000).

2608247664 is an abundant number, since it is smaller than the sum of its proper divisors (5400168336).

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

2608247664 is a wasteful number, since it uses less digits than its factorization.

2608247664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9403 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2608247664 is about 51071.0060993515. The cubic root of 2608247664 is about 1376.5213202892.

The spelling of 2608247664 in words is "two billion, six hundred eight million, two hundred forty-seven thousand, six hundred sixty-four".