2102003332440 has 256 divisors, whose sum is σ = 6940201305600. Its totient is φ = 505082265600.

The previous prime is 2102003332427. The next prime is 2102003332453. The reversal of 2102003332440 is 442333002012.

It is an interprime number because it is at equal distance from previous prime (2102003332427) and next prime (2102003332453).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2102003332440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75573256 + ... + 75601064.

It is an arithmetic number, because the mean of its divisors is an integer number (27110161350).

Almost surely, 2^{2102003332440} is an apocalyptic number.

2102003332440 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 2102003332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470100652800).

2102003332440 is an abundant number, since it is smaller than the sum of its proper divisors (4838197973160).

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

2102003332440 is a wasteful number, since it uses less digits than its factorization.

2102003332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28338 (or 28334 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2102003332440 its reverse (442333002012), we get a palindrome (2544336334452).

The spelling of 2102003332440 in words is "two trillion, one hundred two billion, three million, three hundred thirty-two thousand, four hundred forty".