2210380867552 has 192 divisors, whose sum is σ = 5148767490048. Its totient is φ = 920865024000.

The previous prime is 2210380867493. The next prime is 2210380867619. The reversal of 2210380867552 is 2557680830122.

It is a junction number, because it is equal to n+sod(n) for n = 2210380867496 and 2210380867505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651835777 + ... + 651839167.

It is an arithmetic number, because the mean of its divisors is an integer number (26816497344).

Almost surely, 2^{2210380867552} is an apocalyptic number.

2210380867552 is a gapful number since it is divisible by the number (22) 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 2210380867552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574383745024).

2210380867552 is an abundant number, since it is smaller than the sum of its proper divisors (2938386622496).

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

2210380867552 is a wasteful number, since it uses less digits than its factorization.

2210380867552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 2210380867552 in words is "two trillion, two hundred ten billion, three hundred eighty million, eight hundred sixty-seven thousand, five hundred fifty-two".