2252994950880 has 288 divisors, whose sum is σ = 8230299936768. Its totient is φ = 581417740800.

The previous prime is 2252994950831. The next prime is 2252994950897. The reversal of 2252994950880 is 880594992522.

2252994950880 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 9 + 9 + 49 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2252994950880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270645 + ... + 2139915.

It is an arithmetic number, because the mean of its divisors is an integer number (28577430336).

Almost surely, 2^{2252994950880} is an apocalyptic number.

2252994950880 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 2252994950880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115149968384).

2252994950880 is an abundant number, since it is smaller than the sum of its proper divisors (5977304985888).

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

2252994950880 is a wasteful number, since it uses less digits than its factorization.

2252994950880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869332 (or 1869312 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 2252994950880 in words is "two trillion, two hundred fifty-two billion, nine hundred ninety-four million, nine hundred fifty thousand, eight hundred eighty".