2252721051168 has 96 divisors (see below), whose sum is σ = 6759851978880. Its totient is φ = 643473745920.

The previous prime is 2252721051151. The next prime is 2252721051197. The reversal of 2252721051168 is 8611501272522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2285268 + ... + 3118956.

It is an arithmetic number, because the mean of its divisors is an integer number (70415124780).

Almost surely, 2^{2252721051168} is an apocalyptic number.

2252721051168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2252721051168 is an abundant number, since it is smaller than the sum of its proper divisors (4507130927712).

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

2252721051168 is a wasteful number, since it uses less digits than its factorization.

2252721051168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837730 (or 837722 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 2252721051168 in words is "two trillion, two hundred fifty-two billion, seven hundred twenty-one million, fifty-one thousand, one hundred sixty-eight".