2916497664 has 216 divisors, whose sum is σ = 8803197312. Its totient is φ = 962979840.

The previous prime is 2916497603. The next prime is 2916497669. The reversal of 2916497664 is 4667946192.

It is a happy number.

2916497664 is a `hidden beast` number, since 2 + 91 + 6 + 497 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2916497664.

It is not an unprimeable number, because it can be changed into a prime (2916497669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10761849 + ... + 10762119.

Almost surely, 2^2916497664 is an apocalyptic number.

2916497664 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 2916497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401598656).

2916497664 is an abundant number, since it is smaller than the sum of its proper divisors (5886699648).

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

2916497664 is an equidigital number, since it uses as much as digits as its factorization.

2916497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 449 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 2916497664 is about 54004.6078034088. The cubic root of 2916497664 is about 1428.7422170820.

The spelling of 2916497664 in words is "two billion, nine hundred sixteen million, four hundred ninety-seven thousand, six hundred sixty-four".