2268431792640 has 640 divisors, whose sum is σ = 8701680556800. Its totient is φ = 556826296320.

The previous prime is 2268431792629. The next prime is 2268431792651. The reversal of 2268431792640 is 462971348622.

It is a happy number.

2268431792640 is a `hidden beast` number, since 2 + 2 + 68 + 4 + 317 + 9 + 264 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2268431792629) and next prime (2268431792651).

It is a tau number, because it is divible by the number of its divisors (640).

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340550910 + ... + 340557570.

It is an arithmetic number, because the mean of its divisors is an integer number (13596375870).

Almost surely, 2^{2268431792640} is an apocalyptic number.

2268431792640 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 2268431792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350840278400).

2268431792640 is an abundant number, since it is smaller than the sum of its proper divisors (6433248764160).

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

2268431792640 is a wasteful number, since it uses less digits than its factorization.

2268431792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2268431792640 in words is "two trillion, two hundred sixty-eight billion, four hundred thirty-one million, seven hundred ninety-two thousand, six hundred forty".