2280229335720 has 256 divisors, whose sum is σ = 8696678400000. Its totient is φ = 520589852928.

The previous prime is 2280229335697. The next prime is 2280229335721. The reversal of 2280229335720 is 275339220822.

2280229335720 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 2 + 293 + 357 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2280229335721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6349531 + ... + 6699029.

It is an arithmetic number, because the mean of its divisors is an integer number (33971400000).

Almost surely, 2^{2280229335720} is an apocalyptic number.

2280229335720 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 2280229335720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348339200000).

2280229335720 is an abundant number, since it is smaller than the sum of its proper divisors (6416449064280).

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

2280229335720 is a wasteful number, since it uses less digits than its factorization.

2280229335720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350389 (or 350379 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2280229335720 in words is "two trillion, two hundred eighty billion, two hundred twenty-nine million, three hundred thirty-five thousand, seven hundred twenty".