2121600666240 has 384 divisors, whose sum is σ = 8412811243200. Its totient is φ = 487257292800.

The previous prime is 2121600666209. The next prime is 2121600666253. The reversal of 2121600666240 is 426660061212.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 2121600666195 and 2121600666204.

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, 322660 + ... + 2085020.

Almost surely, 2^{2121600666240} is an apocalyptic number.

2121600666240 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 2121600666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206405621600).

2121600666240 is an abundant number, since it is smaller than the sum of its proper divisors (6291210576960).

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

2121600666240 is a wasteful number, since it uses less digits than its factorization.

2121600666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762416 (or 1762401 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2121600666240 in words is "two trillion, one hundred twenty-one billion, six hundred million, six hundred sixty-six thousand, two hundred forty".