2267408814048 has 960 divisors, whose sum is σ = 8103983247360. Its totient is φ = 608244940800.

The previous prime is 2267408813993. The next prime is 2267408814053. The reversal of 2267408814048 is 8404188047622.

2267408814048 is a `hidden beast` number, since 22 + 67 + 408 + 81 + 40 + 48 = 666.

2267408814048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2267408814048² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2267408813985 and 2267408814003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5828814238 + ... + 5828814626.

It is an arithmetic number, because the mean of its divisors is an integer number (8441649216).

Almost surely, 2^{2267408814048} is an apocalyptic number.

2267408814048 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 2267408814048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051991623680).

2267408814048 is an abundant number, since it is smaller than the sum of its proper divisors (5836574433312).

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

2267408814048 is a wasteful number, since it uses less digits than its factorization.

2267408814048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 2267408814048 in words is "two trillion, two hundred sixty-seven billion, four hundred eight million, eight hundred fourteen thousand, forty-eight".