2210939046720 has 448 divisors, whose sum is σ = 8236938608640. Its totient is φ = 557150939136.

The previous prime is 2210939046691. The next prime is 2210939046737. The reversal of 2210939046720 is 276409390122.

2210939046720 is a `hidden beast` number, since 2 + 2 + 10 + 93 + 90 + 467 + 2 + 0 = 666.

It is a super-2 number, since 2×2210939046720² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 16426737 + ... + 16560783.

It is an arithmetic number, because the mean of its divisors is an integer number (18386023680).

Almost surely, 2^{2210939046720} is an apocalyptic number.

2210939046720 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 2210939046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118469304320).

2210939046720 is an abundant number, since it is smaller than the sum of its proper divisors (6025999561920).

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

2210939046720 is a wasteful number, since it uses less digits than its factorization.

2210939046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134179 (or 134163 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 2210939046720 in words is "two trillion, two hundred ten billion, nine hundred thirty-nine million, forty-six thousand, seven hundred twenty".