2293952924160 has 480 divisors, whose sum is σ = 8195051264400. Its totient is φ = 592582017024.

The previous prime is 2293952924147. The next prime is 2293952924177. The reversal of 2293952924160 is 614292593922.

2293952924160 is a `hidden beast` number, since 2 + 2 + 9 + 39 + 529 + 24 + 1 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1789216563456 + 504736360704 = 1337616^2 + 710448^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 2293952924097 and 2293952924106.

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 47 ways as a sum of consecutive naturals, for example, 198622066 + ... + 198633614.

Almost surely, 2^{2293952924160} is an apocalyptic number.

2293952924160 is a gapful number since it is divisible by the number (20) 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 2293952924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097525632200).

2293952924160 is an abundant number, since it is smaller than the sum of its proper divisors (5901098340240).

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

2293952924160 is a wasteful number, since it uses less digits than its factorization.

2293952924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11848 (or 11829 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 2293952924160 in words is "two trillion, two hundred ninety-three billion, nine hundred fifty-two million, nine hundred twenty-four thousand, one hundred sixty".