2210764000 has 144 divisors (see below), whose sum is σ = 5736524976. Its totient is φ = 837216000.

The previous prime is 2210763983. The next prime is 2210764001. The reversal of 2210764000 is 4670122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210764001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1443235 + ... + 1444765.

It is an arithmetic number, because the mean of its divisors is an integer number (39836979).

Almost surely, 2^2210764000 is an apocalyptic number.

2210764000 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 2210764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868262488).

2210764000 is an abundant number, since it is smaller than the sum of its proper divisors (3525760976).

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

2210764000 is a wasteful number, since it uses less digits than its factorization.

2210764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2210764000 is about 47018.7622125466. The cubic root of 2210764000 is about 1302.7091432414.

The spelling of 2210764000 in words is "two billion, two hundred ten million, seven hundred sixty-four thousand".