2265319494400 has 432 divisors, whose sum is σ = 5966569170688. Its totient is φ = 850010112000.

The previous prime is 2265319494397. The next prime is 2265319494421. The reversal of 2265319494400 is 44949135622.

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, 3090476434 + ... + 3090477166.

Almost surely, 2^{2265319494400} is an apocalyptic number.

2265319494400 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 2265319494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983284585344).

2265319494400 is an abundant number, since it is smaller than the sum of its proper divisors (3701249676288).

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

2265319494400 is a wasteful number, since it uses less digits than its factorization.

2265319494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 2265319494400 in words is "two trillion, two hundred sixty-five billion, three hundred nineteen million, four hundred ninety-four thousand, four hundred".