2017649664 has 264 divisors, whose sum is σ = 6144160568. Its totient is φ = 637009920.

The previous prime is 2017649659. The next prime is 2017649687. The reversal of 2017649664 is 4669467102.

It can be written as a sum of positive squares in 4 ways, for example, as 167961600 + 1849688064 = 12960^2 + 43008^2 .

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, 20800464 + ... + 20800560.

Almost surely, 2^2017649664 is an apocalyptic number.

2017649664 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 2017649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072080284).

2017649664 is an abundant number, since it is smaller than the sum of its proper divisors (4126510904).

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

2017649664 is a wasteful number, since it uses less digits than its factorization.

2017649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2017649664 is about 44918.2553534752. The cubic root of 2017649664 is about 1263.6163980427.

The spelling of 2017649664 in words is "two billion, seventeen million, six hundred forty-nine thousand, six hundred sixty-four".