2210304242000 has 40 divisors (see below), whose sum is σ = 5344515661992. Its totient is φ = 884121696000.

The previous prime is 2210304241969. The next prime is 2210304242033. The reversal of 2210304242000 is 2424030122.

It can be written as a sum of positive squares in 4 ways, for example, as 260348939536 + 1949955302464 = 510244^2 + 1396408^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 552574061 + ... + 552578060.

Almost surely, 2^{2210304242000} is an apocalyptic number.

2210304242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210304242000 is an abundant number, since it is smaller than the sum of its proper divisors (3134211419992).

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

2210304242000 is a wasteful number, since it uses less digits than its factorization.

2210304242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105152144 (or 1105152128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2210304242000 its reverse (2424030122), we get a palindrome (2212728272122).

The spelling of 2210304242000 in words is "two trillion, two hundred ten billion, three hundred four million, two hundred forty-two thousand".