2275446902400 has 768 divisors, whose sum is σ = 9585969792000. Its totient is φ = 516341329920.

The previous prime is 2275446902383. The next prime is 2275446902441. The reversal of 2275446902400 is 42096445722.

2275446902400 is a `hidden beast` number, since 2 + 2 + 7 + 544 + 69 + 0 + 2 + 40 + 0 = 666.

It is a super-3 number, since 3×2275446902400³ (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84053667 + ... + 84080733.

It is an arithmetic number, because the mean of its divisors is an integer number (12481731500).

Almost surely, 2^{2275446902400} is an apocalyptic number.

2275446902400 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 2275446902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792984896000).

2275446902400 is an abundant number, since it is smaller than the sum of its proper divisors (7310522889600).

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

2275446902400 is a wasteful number, since it uses less digits than its factorization.

2275446902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27246 (or 27223 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2275446902400 in words is "two trillion, two hundred seventy-five billion, four hundred forty-six million, nine hundred two thousand, four hundred".