2270575551600 has 480 divisors, whose sum is σ = 8736858464000. Its totient is φ = 558114001920.

The previous prime is 2270575551599. The next prime is 2270575551649. The reversal of 2270575551600 is 61555750722.

2270575551600 is a `hidden beast` number, since 2 + 2 + 70 + 575 + 5 + 5 + 1 + 6 + 0 + 0 = 666.

It is a super-3 number, since 3×2270575551600³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7442871 + ... + 7741929.

Almost surely, 2^{2270575551600} is an apocalyptic number.

2270575551600 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 2270575551600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368429232000).

2270575551600 is an abundant number, since it is smaller than the sum of its proper divisors (6466282912400).

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

2270575551600 is a wasteful number, since it uses less digits than its factorization.

2270575551600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299142 (or 299125 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 2270575551600 in words is "two trillion, two hundred seventy billion, five hundred seventy-five million, five hundred fifty-one thousand, six hundred".