2275800624000 has 640 divisors, whose sum is σ = 8465272152480. Its totient is φ = 605955686400.

The previous prime is 2275800623969. The next prime is 2275800624113. The reversal of 2275800624000 is 4260085722.

2275800624000 is a `hidden beast` number, since 2 + 27 + 5 + 8 + 0 + 0 + 624 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1494287239 + ... + 1494288761.

Almost surely, 2^{2275800624000} is an apocalyptic number.

2275800624000 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 2275800624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232636076240).

2275800624000 is an abundant number, since it is smaller than the sum of its proper divisors (6189471528480).

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

2275800624000 is a wasteful number, since it uses less digits than its factorization.

2275800624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2275800624000 in words is "two trillion, two hundred seventy-five billion, eight hundred million, six hundred twenty-four thousand".