2210985504 has 384 divisors, whose sum is σ = 8084482560. Its totient is φ = 572313600.

The previous prime is 2210985493. The next prime is 2210985523. The reversal of 2210985504 is 4055890122.

2210985504 is a `hidden beast` number, since 2 + 2 + 10 + 98 + 550 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4795834 + ... + 4796294.

It is an arithmetic number, because the mean of its divisors is an integer number (21053340).

Almost surely, 2^2210985504 is an apocalyptic number.

2210985504 is a gapful number since it is divisible by the number (24) 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 2210985504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042241280).

2210985504 is an abundant number, since it is smaller than the sum of its proper divisors (5873497056).

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

2210985504 is a wasteful number, since it uses less digits than its factorization.

2210985504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2210985504 is about 47021.1176387801. The cubic root of 2210985504 is about 1302.7526494153.

The spelling of 2210985504 in words is "two billion, two hundred ten million, nine hundred eighty-five thousand, five hundred four".