2102012042040 has 96 divisors (see below), whose sum is σ = 6856935508800. Its totient is φ = 558452739840.

The previous prime is 2102012042033. The next prime is 2102012042047. The reversal of 2102012042040 is 402402102012.

2102012042040 is a `hidden beast` number, since 2 + 1 + 0 + 201 + 2 + 0 + 420 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2102012042033) and next prime (2102012042047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102012042047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10756176 + ... + 10949855.

It is an arithmetic number, because the mean of its divisors is an integer number (71426411550).

Almost surely, 2^{2102012042040} is an apocalyptic number.

2102012042040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102012042040 is an abundant number, since it is smaller than the sum of its proper divisors (4754923466760).

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

2102012042040 is a wasteful number, since it uses less digits than its factorization.

2102012042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21706317 (or 21706310 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2102012042040 its reverse (402402102012), we get a palindrome (2504414144052).

The spelling of 2102012042040 in words is "two trillion, one hundred two billion, twelve million, forty-two thousand, forty".