2102004212040 has 192 divisors, whose sum is σ = 7132339319040. Its totient is φ = 535877337600.

The previous prime is 2102004212039. The next prime is 2102004212101. The reversal of 2102004212040 is 402124002012.

2102004212040 is a `hidden beast` number, since 2 + 1 + 0 + 200 + 421 + 2 + 0 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15673509 + ... + 15807051.

It is an arithmetic number, because the mean of its divisors is an integer number (37147600620).

Almost surely, 2^{2102004212040} is an apocalyptic number.

2102004212040 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 2102004212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566169659520).

2102004212040 is an abundant number, since it is smaller than the sum of its proper divisors (5030335107000).

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

2102004212040 is a wasteful number, since it uses less digits than its factorization.

2102004212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135484 (or 135477 counting only the distinct ones).

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

Adding to 2102004212040 its reverse (402124002012), we get a palindrome (2504128214052).

The spelling of 2102004212040 in words is "two trillion, one hundred two billion, four million, two hundred twelve thousand, forty".