2296226193408 has 672 divisors, whose sum is σ = 8082624610944. Its totient is φ = 613171593216.

The previous prime is 2296226193389. The next prime is 2296226193409. The reversal of 2296226193408 is 8043916226922.

2296226193408 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 226 + 1 + 9 + 3 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (2296226193409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1377459391 + ... + 1377461057.

Almost surely, 2^{2296226193408} is an apocalyptic number.

2296226193408 is a gapful number since it is divisible by the number (28) 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 2296226193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041312305472).

2296226193408 is an abundant number, since it is smaller than the sum of its proper divisors (5786398417536).

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

2296226193408 is a wasteful number, since it uses less digits than its factorization.

2296226193408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2296226193408 in words is "two trillion, two hundred ninety-six billion, two hundred twenty-six million, one hundred ninety-three thousand, four hundred eight".