2102042342400 has 2112 divisors, whose sum is σ = 9592992675840. Its totient is φ = 391761100800.

The previous prime is 2102042342317. The next prime is 2102042342419. The reversal of 2102042342400 is 42432402012.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2844441231 + ... + 2844441969.

Almost surely, 2^{2102042342400} is an apocalyptic number.

2102042342400 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 2102042342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796496337920).

2102042342400 is an abundant number, since it is smaller than the sum of its proper divisors (7490950333440).

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

2102042342400 is a wasteful number, since it uses less digits than its factorization.

2102042342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2102042342400 its reverse (42432402012), we get a palindrome (2144474744412).

It can be divided in two parts, 2102042 and 342400, that added together give a palindrome (2444442).

The spelling of 2102042342400 in words is "two trillion, one hundred two billion, forty-two million, three hundred forty-two thousand, four hundred".