2269120630400 has 384 divisors, whose sum is σ = 6474354364800. Its totient is φ = 778742415360.

The previous prime is 2269120630313. The next prime is 2269120630409. The reversal of 2269120630400 is 40360219622.

It is not an unprimeable number, because it can be changed into a prime (2269120630409) 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 47 ways as a sum of consecutive naturals, for example, 41864117 + ... + 41918283.

It is an arithmetic number, because the mean of its divisors is an integer number (16860297825).

Almost surely, 2^{2269120630400} is an apocalyptic number.

2269120630400 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 2269120630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237177182400).

2269120630400 is an abundant number, since it is smaller than the sum of its proper divisors (4205233734400).

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

2269120630400 is a wasteful number, since it uses less digits than its factorization.

2269120630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54276 (or 54259 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 2269120630400 in words is "two trillion, two hundred sixty-nine billion, one hundred twenty million, six hundred thirty thousand, four hundred".