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2428764549120 = 21235571331173
BaseRepresentation
bin100011010101111101101…
…001011111000000000000
322121012001202222201100000
4203111331221133000000
5304243102211032440
65055431541200000
7340321023016230
oct43257551370000
98535052881300
102428764549120
118570402a7728
12332864400000
13148054310280
14857a4d7dcc0
154329ed10730
hex2357da5f000

2428764549120 has 2496 divisors, whose sum is σ = 11155956424704. Its totient is φ = 493045678080.

The previous prime is 2428764549091. The next prime is 2428764549121. The reversal of 2428764549120 is 219454678242.

2428764549120 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 76 + 4 + 549 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428764549121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14039101354 + ... + 14039101526.

It is an arithmetic number, because the mean of its divisors is an integer number (4469533824).

Almost surely, 22428764549120 is an apocalyptic number.

2428764549120 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 2428764549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577978212352).

2428764549120 is an abundant number, since it is smaller than the sum of its proper divisors (8727191875584).

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

2428764549120 is a wasteful number, since it uses less digits than its factorization.

2428764549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2428764549120 in words is "two trillion, four hundred twenty-eight billion, seven hundred sixty-four million, five hundred forty-nine thousand, one hundred twenty".