2102405331040 has 192 divisors, whose sum is σ = 6102393292800. Its totient is φ = 668356724736.

The previous prime is 2102405330969. The next prime is 2102405331043. The reversal of 2102405331040 is 401335042012.

It is a junction number, because it is equal to n+sod(n) for n = 2102405330996 and 2102405331014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102405331043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50875 + ... + 2051194.

It is an arithmetic number, because the mean of its divisors is an integer number (31783298400).

Almost surely, 2^{2102405331040} is an apocalyptic number.

2102405331040 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 2102405331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051196646400).

2102405331040 is an abundant number, since it is smaller than the sum of its proper divisors (3999987961760).

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

2102405331040 is a wasteful number, since it uses less digits than its factorization.

2102405331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102157 (or 2102149 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 2102405331040 in words is "two trillion, one hundred two billion, four hundred five million, three hundred thirty-one thousand, forty".