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2666220480 = 2632571121093
BaseRepresentation
bin1001111011101011…
…0100101111000000
320212210222000220200
42132322310233000
520430023023410
61120322205200
7123033333360
oct23672645700
96783860820
102666220480
111149014a00
12624ab3800
133364ba371
141b415c9a0
151091113c0
hex9eeb4bc0

2666220480 has 504 divisors, whose sum is σ = 11530742496. Its totient is φ = 553512960.

The previous prime is 2666220463. The next prime is 2666220493. The reversal of 2666220480 is 840226662.

It is a tau number, because it is divible by the number of its divisors (504).

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

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 71 ways as a sum of consecutive naturals, for example, 2438814 + ... + 2439906.

Almost surely, 22666220480 is an apocalyptic number.

2666220480 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 2666220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765371248).

2666220480 is an abundant number, since it is smaller than the sum of its proper divisors (8864522016).

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

2666220480 is a wasteful number, since it uses less digits than its factorization.

2666220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2666220480 is about 51635.4575848806. The cubic root of 2666220480 is about 1386.6452022483.

The spelling of 2666220480 in words is "two billion, six hundred sixty-six million, two hundred twenty thousand, four hundred eighty".