2225476812240 has 1280 divisors, whose sum is σ = 9071419392000. Its totient is φ = 495487549440.

The previous prime is 2225476812191. The next prime is 2225476812343. The reversal of 2225476812240 is 422186745222.

2225476812240 is a `hidden beast` number, since 2 + 2 + 2 + 547 + 6 + 81 + 2 + 24 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 3095238601 + ... + 3095239319.

It is an arithmetic number, because the mean of its divisors is an integer number (7087046400).

Almost surely, 2^{2225476812240} is an apocalyptic number.

2225476812240 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 2225476812240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535709696000).

2225476812240 is an abundant number, since it is smaller than the sum of its proper divisors (6845942579760).

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

2225476812240 is a wasteful number, since it uses less digits than its factorization.

2225476812240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 2225476812240 in words is "two trillion, two hundred twenty-five billion, four hundred seventy-six million, eight hundred twelve thousand, two hundred forty".