2166617964840 has 384 divisors, whose sum is σ = 7894602144000. Its totient is φ = 473406861312.

The previous prime is 2166617964829. The next prime is 2166617964881. The reversal of 2166617964840 is 484697166612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282512526 + ... + 282520194.

It is an arithmetic number, because the mean of its divisors is an integer number (20558859750).

Almost surely, 2^{2166617964840} is an apocalyptic number.

2166617964840 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 2166617964840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947301072000).

2166617964840 is an abundant number, since it is smaller than the sum of its proper divisors (5727984179160).

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

2166617964840 is a wasteful number, since it uses less digits than its factorization.

2166617964840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9809 (or 9798 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 2166617964840 in words is "two trillion, one hundred sixty-six billion, six hundred seventeen million, nine hundred sixty-four thousand, eight hundred forty".