2228319265536 has 1152 divisors, whose sum is σ = 8605678233600. Its totient is φ = 552287600640.

The previous prime is 2228319265507. The next prime is 2228319265547. The reversal of 2228319265536 is 6355629138222.

It is a happy number.

2228319265536 is a `hidden beast` number, since 2 + 2 + 2 + 83 + 1 + 9 + 2 + 6 + 553 + 6 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 1637265496 + ... + 1637266856.

It is an arithmetic number, because the mean of its divisors is an integer number (7470206800).

Almost surely, 2^{2228319265536} is an apocalyptic number.

2228319265536 is a gapful number since it is divisible by the number (26) 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 2228319265536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302839116800).

2228319265536 is an abundant number, since it is smaller than the sum of its proper divisors (6377358968064).

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

2228319265536 is a wasteful number, since it uses less digits than its factorization.

2228319265536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1542 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 2228319265536 in words is "two trillion, two hundred twenty-eight billion, three hundred nineteen million, two hundred sixty-five thousand, five hundred thirty-six".