2275943604480 has 2592 divisors, whose sum is σ = 10436158526976. Its totient is φ = 447364988928.

The previous prime is 2275943604449. The next prime is 2275943604491. The reversal of 2275943604480 is 844063495722.

It is a happy number.

2275943604480 is a `hidden beast` number, since 2 + 2 + 7 + 594 + 3 + 6 + 0 + 4 + 48 + 0 = 666.

It is a super-3 number, since 3×2275943604480³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16612726972 + ... + 16612727108.

It is an arithmetic number, because the mean of its divisors is an integer number (4026295728).

Almost surely, 2^{2275943604480} is an apocalyptic number.

2275943604480 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 2275943604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218079263488).

2275943604480 is an abundant number, since it is smaller than the sum of its proper divisors (8160214922496).

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

2275943604480 is a wasteful number, since it uses less digits than its factorization.

2275943604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2275943604480 in words is "two trillion, two hundred seventy-five billion, nine hundred forty-three million, six hundred four thousand, four hundred eighty".