2121640206408 has 96 divisors (see below), whose sum is σ = 6014619243360. Its totient is φ = 700603862400.

The previous prime is 2121640206397. The next prime is 2121640206409. The reversal of 2121640206408 is 8046020461212.

2121640206408 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 6 + 4 + 0 + 2 + 0 + 640 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2121640206409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4891893 + ... + 5307908.

It is an arithmetic number, because the mean of its divisors is an integer number (62652283785).

Almost surely, 2^{2121640206408} is an apocalyptic number.

It is an amenable number.

2121640206408 is an abundant number, since it is smaller than the sum of its proper divisors (3892979036952).

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

2121640206408 is a wasteful number, since it uses less digits than its factorization.

2121640206408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199929 (or 10199913 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2121640206408 in words is "two trillion, one hundred twenty-one billion, six hundred forty million, two hundred six thousand, four hundred eight".