2102442240 has 144 divisors (see below), whose sum is σ = 6733230336. Its totient is φ = 559104000.

The previous prime is 2102442233. The next prime is 2102442257. The reversal of 2102442240 is 422442012.

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 15 ways as a sum of consecutive naturals, for example, 2307385 + ... + 2308295.

It is an arithmetic number, because the mean of its divisors is an integer number (46758544).

Almost surely, 2^2102442240 is an apocalyptic number.

2102442240 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 2102442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366615168).

2102442240 is an abundant number, since it is smaller than the sum of its proper divisors (4630788096).

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

2102442240 is an equidigital number, since it uses as much as digits as its factorization.

2102442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2102442240 is about 45852.3962296410. The cubic root of 2102442240 is about 1281.0753983291.

Adding to 2102442240 its reverse (422442012), we get a palindrome (2524884252).

The spelling of 2102442240 in words is "two billion, one hundred two million, four hundred forty-two thousand, two hundred forty".