2917025664 has 128 divisors (see below), whose sum is σ = 9036384000. Its totient is φ = 833398272.

The previous prime is 2917025663. The next prime is 2917025717. The reversal of 2917025664 is 4665207192.

2917025664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2917025663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120639 + ... + 142785.

It is an arithmetic number, because the mean of its divisors is an integer number (70596750).

Almost surely, 2^2917025664 is an apocalyptic number.

2917025664 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 2917025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518192000).

2917025664 is an abundant number, since it is smaller than the sum of its proper divisors (6119358336).

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

2917025664 is an equidigital number, since it uses as much as digits as its factorization.

2917025664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22185 (or 22159 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2917025664 is about 54009.4960539348. The cubic root of 2917025664 is about 1428.8284312629.

The spelling of 2917025664 in words is "two billion, nine hundred seventeen million, twenty-five thousand, six hundred sixty-four".