2267406943488 has 288 divisors, whose sum is σ = 7064064000000. Its totient is φ = 715410413568.

The previous prime is 2267406943481. The next prime is 2267406943489. The reversal of 2267406943488 is 8843496047622.

2267406943488 is a `hidden beast` number, since 2 + 2 + 67 + 4 + 0 + 6 + 94 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2267406943488² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267406943481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167961763 + ... + 167975261.

It is an arithmetic number, because the mean of its divisors is an integer number (24528000000).

Almost surely, 2^{2267406943488} 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 2267406943488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532032000000).

2267406943488 is an abundant number, since it is smaller than the sum of its proper divisors (4796657056512).

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

2267406943488 is a wasteful number, since it uses less digits than its factorization.

2267406943488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14822 (or 14802 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 2267406943488 in words is "two trillion, two hundred sixty-seven billion, four hundred six million, nine hundred forty-three thousand, four hundred eighty-eight".