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2502300240 = 24325111392273
BaseRepresentation
bin1001010100100110…
…0001001001010000
320110101112000121200
42111021201021100
520111042101430
61052144551200
7116003125656
oct22511411120
96411460550
102502300240
111074535230
1259a022500
1330b55643b
1419a48cdd6
15e9a32460
hex95261250

2502300240 has 240 divisors, whose sum is σ = 9237533760. Its totient is φ = 601989120.

The previous prime is 2502300179. The next prime is 2502300259. The reversal of 2502300240 is 420032052.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×25023002402 = 12523012982208115200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1099744 + ... + 1102016.

It is an arithmetic number, because the mean of its divisors is an integer number (38489724).

Almost surely, 22502300240 is an apocalyptic number.

2502300240 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 2502300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618766880).

2502300240 is an abundant number, since it is smaller than the sum of its proper divisors (6735233520).

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

2502300240 is a wasteful number, since it uses less digits than its factorization.

2502300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2502300240 is about 50022.9971113287. The cubic root of 2502300240 is about 1357.6249348300.

Adding to 2502300240 its reverse (420032052), we get a palindrome (2922332292).

The spelling of 2502300240 in words is "two billion, five hundred two million, three hundred thousand, two hundred forty".