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2161002240 = 28345191097
BaseRepresentation
bin1000000011001110…
…0100011100000000
312120121022021210000
42000303210130000
513411204032430
6554233440000
7104360134035
oct20063443400
95517267700
102161002240
11a09913a71
12503870000
13285929067
1416700938c
15c9ab6e60
hex80ce4700

2161002240 has 360 divisors, whose sum is σ = 8146852560. Its totient is φ = 545439744.

The previous prime is 2161002203. The next prime is 2161002241. The reversal of 2161002240 is 422001612.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161002241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1969372 + ... + 1970468.

It is an arithmetic number, because the mean of its divisors is an integer number (22630146).

Almost surely, 22161002240 is an apocalyptic number.

2161002240 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 2161002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073426280).

2161002240 is an abundant number, since it is smaller than the sum of its proper divisors (5985850320).

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

2161002240 is a wasteful number, since it uses less digits than its factorization.

2161002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2161002240 is about 46486.5812896582. The cubic root of 2161002240 is about 1292.8607146436.

Adding to 2161002240 its reverse (422001612), we get a palindrome (2583003852).

The spelling of 2161002240 in words is "two billion, one hundred sixty-one million, two thousand, two hundred forty".