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2673246240 = 25345779373
BaseRepresentation
bin1001111101010110…
…1000000000100000
320220022011222110000
42133111220000200
520433322334430
61121132540000
7123150134550
oct23725500040
96808158400
102673246240
111151a83515
12627321600
13337aaa212
141b506b160
15109a4ce60
hex9f568020

2673246240 has 480 divisors, whose sum is σ = 10947847680. Its totient is φ = 601675776.

The previous prime is 2673246227. The next prime is 2673246253. The reversal of 2673246240 is 426423762.

2673246240 is a `hidden beast` number, since 2 + 6 + 7 + 3 + 24 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2673246227) and next prime (2673246253).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2673246195 and 2673246204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7166694 + ... + 7167066.

It is an arithmetic number, because the mean of its divisors is an integer number (22808016).

Almost surely, 22673246240 is an apocalyptic number.

2673246240 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 2673246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473923840).

2673246240 is an abundant number, since it is smaller than the sum of its proper divisors (8274601440).

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

2673246240 is a wasteful number, since it uses less digits than its factorization.

2673246240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2673246240 is about 51703.4451463343. The cubic root of 2673246240 is about 1387.8621173179.

The spelling of 2673246240 in words is "two billion, six hundred seventy-three million, two hundred forty-six thousand, two hundred forty".