2210252728320 has 2304 divisors, whose sum is σ = 10048751032320. Its totient is φ = 453487362048.

The previous prime is 2210252728319. The next prime is 2210252728393. The reversal of 2210252728320 is 238272520122.

2210252728320 is a `hidden beast` number, since 2 + 2 + 10 + 252 + 72 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9736796047 + ... + 9736796273.

It is an arithmetic number, because the mean of its divisors is an integer number (4361437080).

Almost surely, 2^{2210252728320} is an apocalyptic number.

2210252728320 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 2210252728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024375516160).

2210252728320 is an abundant number, since it is smaller than the sum of its proper divisors (7838498304000).

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

2210252728320 is a wasteful number, since it uses less digits than its factorization.

2210252728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2210252728320 in words is "two trillion, two hundred ten billion, two hundred fifty-two million, seven hundred twenty-eight thousand, three hundred twenty".