2165557405410 has 768 divisors, whose sum is σ = 7450729920000. Its totient is φ = 449693669376.

The previous prime is 2165557405399. The next prime is 2165557405463. The reversal of 2165557405410 is 145047555612.

2165557405410 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 557 + 40 + 54 + 1 + 0 = 666.

It is a super-2 number, since 2×2165557405410² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 528311541 + ... + 528315639.

It is an arithmetic number, because the mean of its divisors is an integer number (9701471250).

Almost surely, 2^{2165557405410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165557405410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725364960000).

2165557405410 is an abundant number, since it is smaller than the sum of its proper divisors (5285172514590).

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

2165557405410 is a wasteful number, since it uses less digits than its factorization.

2165557405410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 2165557405410 in words is "two trillion, one hundred sixty-five billion, five hundred fifty-seven million, four hundred five thousand, four hundred ten".