2165361408 has 432 divisors, whose sum is σ = 7591514112. Its totient is φ = 580608000.

The previous prime is 2165361403. The next prime is 2165361491. The reversal of 2165361408 is 8041635612.

It is a happy number.

2165361408 is a `hidden beast` number, since 216 + 5 + 36 + 1 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165361403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30498013 + ... + 30498083.

Almost surely, 2^2165361408 is an apocalyptic number.

2165361408 is a gapful number since it is divisible by the number (28) 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 2165361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795757056).

2165361408 is an abundant number, since it is smaller than the sum of its proper divisors (5426152704).

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

2165361408 is a wasteful number, since it uses less digits than its factorization.

2165361408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2165361408 is about 46533.4439731254. The cubic root of 2165361408 is about 1293.7294491730.

The spelling of 2165361408 in words is "two billion, one hundred sixty-five million, three hundred sixty-one thousand, four hundred eight".