2210374656 has 396 divisors, whose sum is σ = 7735498368. Its totient is φ = 618098688.

The previous prime is 2210374631. The next prime is 2210374667. The reversal of 2210374656 is 6564730122.

2210374656 is a `hidden beast` number, since 221 + 0 + 374 + 65 + 6 = 666.

It is a super-2 number, since 2×2210374656² = 9771512239774236672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2210374656.

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 35 ways as a sum of consecutive naturals, for example, 47029225 + ... + 47029271.

Almost surely, 2^2210374656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867749184).

2210374656 is an abundant number, since it is smaller than the sum of its proper divisors (5525123712).

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

2210374656 is an frugal number, since it uses more digits than its factorization.

2210374656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2210374656 is about 47014.6217255866. The cubic root of 2210374656 is about 1302.6326641348.

The spelling of 2210374656 in words is "two billion, two hundred ten million, three hundred seventy-four thousand, six hundred fifty-six".