2917493664 has 96 divisors (see below), whose sum is σ = 7788965184. Its totient is φ = 956067840.

The previous prime is 2917493639. The next prime is 2917493671. The reversal of 2917493664 is 4663947192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1420062 + ... + 1422114.

It is an arithmetic number, because the mean of its divisors is an integer number (81135054).

Almost surely, 2^2917493664 is an apocalyptic number.

2917493664 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 2917493664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894482592).

2917493664 is an abundant number, since it is smaller than the sum of its proper divisors (4871471520).

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

2917493664 is a wasteful number, since it uses less digits than its factorization.

2917493664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2302 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 2917493664 is about 54013.8284516104. The cubic root of 2917493664 is about 1428.9048396808.

The spelling of 2917493664 in words is "two billion, nine hundred seventeen million, four hundred ninety-three thousand, six hundred sixty-four".