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2865494880 = 2537519431
BaseRepresentation
bin1010101011001011…
…1111101101100000
321101200221020000000
42222302333231200
521332031314010
61152201300000
7131003206323
oct25262775540
97350836000
102865494880
111240551796
1267b794600
1336887c301
141d27d27ba
1511b8757c0
hexaacbfb60

2865494880 has 384 divisors, whose sum is σ = 10712217600. Its totient is φ = 722234880.

The previous prime is 2865494867. The next prime is 2865494903. The reversal of 2865494880 is 884945682.

It is a super-2 number, since 2×28654948802 = 16422121814612428800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6648265 + ... + 6648695.

It is an arithmetic number, because the mean of its divisors is an integer number (27896400).

Almost surely, 22865494880 is an apocalyptic number.

2865494880 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 2865494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356108800).

2865494880 is an abundant number, since it is smaller than the sum of its proper divisors (7846722720).

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

2865494880 is an equidigital number, since it uses as much as digits as its factorization.

2865494880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2865494880 is about 53530.3173911756. The cubic root of 2865494880 is about 1420.3647281059.

The spelling of 2865494880 in words is "two billion, eight hundred sixty-five million, four hundred ninety-four thousand, eight hundred eighty".