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2480324689920 = 21435711131071
BaseRepresentation
bin100100000101111110110…
…111110100000000000000
322210010011002111020210110
4210011332313310000000
5311114201110034140
65135240114031320
7344124521001360
oct44057667640000
98703132436713
102480324689920
11876999697640
12340853878540
1314cb8036b31c
148809698a9a0
15447bb62e380
hex2417edf4000

2480324689920 has 480 divisors, whose sum is σ = 9895302660096. Its totient is φ = 515388211200.

The previous prime is 2480324689859. The next prime is 2480324689937. The reversal of 2480324689920 is 299864230842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18857985 + ... + 18989055.

Almost surely, 22480324689920 is an apocalyptic number.

2480324689920 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 2480324689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947651330048).

2480324689920 is an abundant number, since it is smaller than the sum of its proper divisors (7414977970176).

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

2480324689920 is a wasteful number, since it uses less digits than its factorization.

2480324689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131125 (or 131099 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 2480324689920 in words is "two trillion, four hundred eighty billion, three hundred twenty-four million, six hundred eighty-nine thousand, nine hundred twenty".