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2540550040 = 2357217194013
BaseRepresentation
bin1001011101101101…
…1011011110011000
320120001111022110221
42113123123132120
520200340100130
61100032445424
7116646214300
oct22733333630
96501438427
102540550040
11109408a936
125aa9a9874
13316459462
141a15a8600
15ed08a87a
hex976db798

2540550040 has 192 divisors, whose sum is σ = 7413055200. Its totient is φ = 776466432.

The previous prime is 2540550011. The next prime is 2540550083. The reversal of 2540550040 is 400550452.

It is a junction number, because it is equal to n+sod(n) for n = 2540549987 and 2540550014.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 631074 + ... + 635086.

Almost surely, 22540550040 is an apocalyptic number.

2540550040 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 2540550040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706527600).

2540550040 is an abundant number, since it is smaller than the sum of its proper divisors (4872505160).

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

2540550040 is a wasteful number, since it uses less digits than its factorization.

2540550040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 2540550040 is about 50403.8692959181. The cubic root of 2540550040 is about 1364.5074707803.

The spelling of 2540550040 in words is "two billion, five hundred forty million, five hundred fifty thousand, forty".