2286948096000 has 1152 divisors, whose sum is σ = 8571073492800. Its totient is φ = 586049126400.

The previous prime is 2286948095989. The next prime is 2286948096011. The reversal of 2286948096000 is 6908496822.

It is a happy number.

2286948096000 is a `hidden beast` number, since 2 + 28 + 6 + 9 + 4 + 8 + 0 + 9 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2286948095989) and next prime (2286948096011).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11849471904 + ... + 11849472096.

Almost surely, 2^{2286948096000} is an apocalyptic number.

2286948096000 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 2286948096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285536746400).

2286948096000 is an abundant number, since it is smaller than the sum of its proper divisors (6284125396800).

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

2286948096000 is a wasteful number, since it uses less digits than its factorization.

2286948096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2286948096000 in words is "two trillion, two hundred eighty-six billion, nine hundred forty-eight million, ninety-six thousand".