2290642309296 has 480 divisors, whose sum is σ = 7390891119360. Its totient is φ = 678576476160.

The previous prime is 2290642309229. The next prime is 2290642309321. The reversal of 2290642309296 is 6929032460922.

It is a happy number.

2290642309296 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 6 + 42 + 309 + 296 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 420839151 + ... + 420844593.

It is an arithmetic number, because the mean of its divisors is an integer number (15397689832).

Almost surely, 2^{2290642309296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290642309296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695445559680).

2290642309296 is an abundant number, since it is smaller than the sum of its proper divisors (5100248810064).

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

2290642309296 is a wasteful number, since it uses less digits than its factorization.

2290642309296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 2290642309296 in words is "two trillion, two hundred ninety billion, six hundred forty-two million, three hundred nine thousand, two hundred ninety-six".