2269791285120 has 384 divisors, whose sum is σ = 8026368910560. Its totient is φ = 590743093248.

The previous prime is 2269791285107. The next prime is 2269791285131. The reversal of 2269791285120 is 215821979622.

2269791285120 is a `hidden beast` number, since 2 + 26 + 97 + 9 + 12 + 8 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2269791285120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419319534 + ... + 419324946.

Almost surely, 2^{2269791285120} is an apocalyptic number.

2269791285120 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 2269791285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013184455280).

2269791285120 is an abundant number, since it is smaller than the sum of its proper divisors (5756577625440).

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

2269791285120 is a wasteful number, since it uses less digits than its factorization.

2269791285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7159 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2269791285120 in words is "two trillion, two hundred sixty-nine billion, seven hundred ninety-one million, two hundred eighty-five thousand, one hundred twenty".