2658449664 has 432 divisors, whose sum is σ = 9160324992. Its totient is φ = 733151232.

The previous prime is 2658449623. The next prime is 2658449701. The reversal of 2658449664 is 4669448562.

It is a self number, because there is not a number n which added to its sum of digits gives 2658449664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11711119 + ... + 11711345.

It is an arithmetic number, because the mean of its divisors is an integer number (21204456).

Almost surely, 2^2658449664 is an apocalyptic number.

2658449664 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 2658449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580162496).

2658449664 is an abundant number, since it is smaller than the sum of its proper divisors (6501875328).

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

2658449664 is a wasteful number, since it uses less digits than its factorization.

2658449664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 2658449664 is about 51560.1557794388. The cubic root of 2658449664 is about 1385.2967453581.

The spelling of 2658449664 in words is "two billion, six hundred fifty-eight million, four hundred forty-nine thousand, six hundred sixty-four".