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2664077040 = 24355433187
BaseRepresentation
bin1001111011001010…
…1001011011110000
320212122221010200000
42132302221123300
520424000431130
61120204230000
7123006165312
oct23662513360
96778833600
102664077040
111147890569
1262423b300
13335c19861
141b3b617b2
15108d3b260
hex9eca96f0

2664077040 has 240 divisors, whose sum is σ = 9496975488. Its totient is φ = 693681408.

The previous prime is 2664077029. The next prime is 2664077057. The reversal of 2664077040 is 407704662.

2664077040 is a `hidden beast` number, since 2 + 6 + 640 + 7 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2664076986 and 2664077004.

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, 834327 + ... + 837513.

Almost surely, 22664077040 is an apocalyptic number.

2664077040 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 2664077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748487744).

2664077040 is an abundant number, since it is smaller than the sum of its proper divisors (6832898448).

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

2664077040 is a wasteful number, since it uses less digits than its factorization.

2664077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2664077040 is about 51614.6979067010. The cubic root of 2664077040 is about 1386.2735166053.

The spelling of 2664077040 in words is "two billion, six hundred sixty-four million, seventy-seven thousand, forty".