2240172307296 has 576 divisors, whose sum is σ = 8208345600000. Its totient is φ = 562426675200.

The previous prime is 2240172307229. The next prime is 2240172307337. The reversal of 2240172307296 is 6927032710422.

2240172307296 is a `hidden beast` number, since 2 + 2 + 40 + 17 + 2 + 307 + 296 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 858631240 + ... + 858633848.

It is an arithmetic number, because the mean of its divisors is an integer number (14250600000).

Almost surely, 2^{2240172307296} 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 2240172307296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104172800000).

2240172307296 is an abundant number, since it is smaller than the sum of its proper divisors (5968173292704).

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

2240172307296 is a wasteful number, since it uses less digits than its factorization.

2240172307296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 2240172307296 in words is "two trillion, two hundred forty billion, one hundred seventy-two million, three hundred seven thousand, two hundred ninety-six".