2822264853408 has 1296 divisors, whose sum is σ = 11262184629696. Its totient is φ = 676011847680.

The previous prime is 2822264853367. The next prime is 2822264853431. The reversal of 2822264853408 is 8043584622282.

It is a happy number.

2822264853408 is a `hidden beast` number, since 2 + 8 + 2 + 226 + 4 + 8 + 5 + 3 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2732104860 + ... + 2732105892.

It is an arithmetic number, because the mean of its divisors is an integer number (8689957276).

Almost surely, 2^{2822264853408} is an apocalyptic number.

2822264853408 is a gapful number since it is divisible by the number (28) 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 2822264853408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631092314848).

2822264853408 is an abundant number, since it is smaller than the sum of its proper divisors (8439919776288).

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

2822264853408 is a wasteful number, since it uses less digits than its factorization.

2822264853408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 2822264853408 in words is "two trillion, eight hundred twenty-two billion, two hundred sixty-four million, eight hundred fifty-three thousand, four hundred eight".