2267968315392 has 784 divisors, whose sum is σ = 7412480748288. Its totient is φ = 689403985920.

The previous prime is 2267968315369. The next prime is 2267968315399. The reversal of 2267968315392 is 2935138697622.

2267968315392 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 9 + 68 + 31 + 539 + 2 = 666.

It is a super-2 number, since 2×2267968315392² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2267968315399) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10170261393 + ... + 10170261615.

It is an arithmetic number, because the mean of its divisors is an integer number (9454694832).

Almost surely, 2^{2267968315392} 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 2267968315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706240374144).

2267968315392 is an abundant number, since it is smaller than the sum of its proper divisors (5144512432896).

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

2267968315392 is an equidigital number, since it uses as much as digits as its factorization.

2267968315392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 372 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 2267968315392 in words is "two trillion, two hundred sixty-seven billion, nine hundred sixty-eight million, three hundred fifteen thousand, three hundred ninety-two".