2121642640040 has 128 divisors (see below), whose sum is σ = 5963746590720. Its totient is φ = 659943916800.

The previous prime is 2121642640027. The next prime is 2121642640111. The reversal of 2121642640040 is 400462461212.

It is a super-2 number, since 2×2121642640040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121642639979 and 2121642640006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810809 + ... + 2213751.

It is an arithmetic number, because the mean of its divisors is an integer number (46591770240).

Almost surely, 2^{2121642640040} is an apocalyptic number.

2121642640040 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 2121642640040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981873295360).

2121642640040 is an abundant number, since it is smaller than the sum of its proper divisors (3842103950680).

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

2121642640040 is a wasteful number, since it uses less digits than its factorization.

2121642640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403463 (or 1403459 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 2121642640040 in words is "two trillion, one hundred twenty-one billion, six hundred forty-two million, six hundred forty thousand, forty".