2292929664 has 128 divisors (see below), whose sum is σ = 6346097280. Its totient is φ = 732856320.

The previous prime is 2292929657. The next prime is 2292929687. The reversal of 2292929664 is 4669292922.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007632 + ... + 1009904.

It is an arithmetic number, because the mean of its divisors is an integer number (49578885).

Almost surely, 2^2292929664 is an apocalyptic number.

2292929664 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 2292929664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173048640).

2292929664 is an abundant number, since it is smaller than the sum of its proper divisors (4053167616).

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

2292929664 is a wasteful number, since it uses less digits than its factorization.

2292929664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2386 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 2292929664 is about 47884.5451476779. The cubic root of 2292929664 is about 1318.6521411508.

The spelling of 2292929664 in words is "two billion, two hundred ninety-two million, nine hundred twenty-nine thousand, six hundred sixty-four".