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2428474245120 = 214345731197
BaseRepresentation
bin100011010101101100010…
…110000100000000000000
322121011022112201202010000
4203111230112010000000
5304242003401320440
65055343051040000
7340310566332000
oct43255426040000
98534275652100
102428474245120
11856a01445a70
123327a3140000
13148009128861
14857785b2000
15432845b9730
hex2356c584000

2428474245120 has 2400 divisors, whose sum is σ = 11190271276800. Its totient is φ = 499415777280.

The previous prime is 2428474245101. The next prime is 2428474245121. The reversal of 2428474245120 is 215424748242.

It is a happy number.

2428474245120 is a `hidden beast` number, since 2 + 4 + 284 + 7 + 4 + 245 + 120 = 666.

It is a super-2 number, since 2×24284742451202 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2428474245121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25035816912 + ... + 25035817008.

It is an arithmetic number, because the mean of its divisors is an integer number (4662613032).

Almost surely, 22428474245120 is an apocalyptic number.

2428474245120 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 2428474245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595135638400).

2428474245120 is an abundant number, since it is smaller than the sum of its proper divisors (8761797031680).

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

2428474245120 is an frugal number, since it uses more digits than its factorization.

2428474245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 45.

The spelling of 2428474245120 in words is "two trillion, four hundred twenty-eight billion, four hundred seventy-four million, two hundred forty-five thousand, one hundred twenty".