2254962805200 has 180 divisors, whose sum is σ = 8943254171488. Its totient is φ = 515420064000.

The previous prime is 2254962805133. The next prime is 2254962805201. The reversal of 2254962805200 is 25082694522.

It is a happy number.

2254962805200 is a `hidden beast` number, since 2 + 2 + 5 + 49 + 6 + 2 + 80 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 (2254962805201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44716126 + ... + 44766525.

Almost surely, 2^{2254962805200} is an apocalyptic number.

2254962805200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254962805200 is an abundant number, since it is smaller than the sum of its proper divisors (6688291366288).

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

2254962805200 is a wasteful number, since it uses less digits than its factorization.

2254962805200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89482682 (or 89482668 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2254962805200 in words is "two trillion, two hundred fifty-four billion, nine hundred sixty-two million, eight hundred five thousand, two hundred".