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2663408880 = 2432511523643
BaseRepresentation
bin1001111011000000…
…0110010011110000
320212121200012010100
42132300012103300
520423313041010
61120142032400
7123000413316
oct23660062360
96777605110
102663408880
111147474570
12623b78700
13335a446b2
141b3a2a0b6
15108c582c0
hex9ec064f0

2663408880 has 240 divisors, whose sum is σ = 9791623296. Its totient is φ = 643438080.

The previous prime is 2663408879. The next prime is 2663408897. The reversal of 2663408880 is 888043662.

It is a happy number.

2663408880 is a `hidden beast` number, since 2 + 6 + 634 + 0 + 8 + 8 + 8 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4141839 + ... + 4142481.

Almost surely, 22663408880 is an apocalyptic number.

2663408880 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 2663408880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895811648).

2663408880 is an abundant number, since it is smaller than the sum of its proper divisors (7128214416).

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

2663408880 is a wasteful number, since it uses less digits than its factorization.

2663408880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2663408880 is about 51608.2249258779. The cubic root of 2663408880 is about 1386.1576128050.

The spelling of 2663408880 in words is "two billion, six hundred sixty-three million, four hundred eight thousand, eight hundred eighty".