2269926996480 has 3840 divisors, whose sum is σ = 10810108108800. Its totient is φ = 447180963840.

The previous prime is 2269926996479. The next prime is 2269926996481. The reversal of 2269926996480 is 846996299622.

2269926996480 is a `hidden beast` number, since 22 + 69 + 9 + 2 + 69 + 9 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2269926996479) and next prime (2269926996481).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2269926996399 and 2269926996408.

It is not an unprimeable number, because it can be changed into a prime (2269926996481) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 28733253081 + ... + 28733253159.

It is an arithmetic number, because the mean of its divisors is an integer number (2815132320).

Almost surely, 2^{2269926996480} is an apocalyptic number.

2269926996480 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 2269926996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405054054400).

2269926996480 is an abundant number, since it is smaller than the sum of its proper divisors (8540181112320).

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

2269926996480 is a wasteful number, since it uses less digits than its factorization.

2269926996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 2269926996480 in words is "two trillion, two hundred sixty-nine billion, nine hundred twenty-six million, nine hundred ninety-six thousand, four hundred eighty".