2252145367800 has 120 divisors (see below), whose sum is σ = 7822034569800. Its totient is φ = 600572093760.

The previous prime is 2252145367793. The next prime is 2252145367807. The reversal of 2252145367800 is 87635412522.

2252145367800 is a `hidden beast` number, since 2 + 2 + 521 + 4 + 53 + 6 + 78 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2252145367793) and next prime (2252145367807).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252145367807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 69494460 + ... + 69526859.

It is an arithmetic number, because the mean of its divisors is an integer number (65183621415).

Almost surely, 2^{2252145367800} is an apocalyptic number.

2252145367800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252145367800 is an abundant number, since it is smaller than the sum of its proper divisors (5569889202000).

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

2252145367800 is a wasteful number, since it uses less digits than its factorization.

2252145367800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139021347 (or 139021329 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2252145367800 in words is "two trillion, two hundred fifty-two billion, one hundred forty-five million, three hundred sixty-seven thousand, eight hundred".