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2540555355520 = 27572139196781
BaseRepresentation
bin100100111110000100111…
…001100100010110000000
322222212121200010002021001
4210332010321210112000
5313111024132334040
65223040502141344
7351356221133500
oct44760471442600
98885550102231
102540555355520
1189a4972a2126
12350462a21854
1315575b82b720
148ad6bd25a00
154614424759a
hex24f84e64580

2540555355520 has 384 divisors, whose sum is σ = 7617981873600. Its totient is φ = 803050536960.

The previous prime is 2540555355487. The next prime is 2540555355539. The reversal of 2540555355520 is 255535550452.

It is a happy number.

It is a super-2 number, since 2×25405553555202 (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 374654530 + ... + 374661310.

Almost surely, 22540555355520 is an apocalyptic number.

2540555355520 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 2540555355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808990936800).

2540555355520 is an abundant number, since it is smaller than the sum of its proper divisors (5077426518080).

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

2540555355520 is a wasteful number, since it uses less digits than its factorization.

2540555355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 3750000, while the sum is 46.

It can be divided in two parts, 254055 and 5355520, that added together give a triangular number (5609575 = T3349).

The spelling of 2540555355520 in words is "two trillion, five hundred forty billion, five hundred fifty-five million, three hundred fifty-five thousand, five hundred twenty".