2924394768288 has 192 divisors, whose sum is σ = 10321393662720. Its totient is φ = 786391842816.

The previous prime is 2924394768257. The next prime is 2924394768311. The reversal of 2924394768288 is 8828674934292.

2924394768288 is a `hidden beast` number, since 2 + 9 + 243 + 9 + 47 + 68 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14118681 + ... + 14324312.

It is an arithmetic number, because the mean of its divisors is an integer number (53757258660).

Almost surely, 2^{2924394768288} is an apocalyptic number.

2924394768288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2924394768288 is an abundant number, since it is smaller than the sum of its proper divisors (7396998894432).

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

2924394768288 is a wasteful number, since it uses less digits than its factorization.

2924394768288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28443036 (or 28443022 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 2924394768288 in words is "two trillion, nine hundred twenty-four billion, three hundred ninety-four million, seven hundred sixty-eight thousand, two hundred eighty-eight".