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2466880 = 26513593
BaseRepresentation
bin1001011010010001000000
311122022220221
421122101000
51112420010
6124512424
726653033
oct11322100
94568827
102466880
111435449
129ab714
13684ac0
1448301a
1533adda
hex25a440

2466880 has 56 divisors (see below), whose sum is σ = 6336792. Its totient is φ = 909312.

The previous prime is 2466869. The next prime is 2466881. The reversal of 2466880 is 886642.

2466880 = T336 + T337 + ... + T374.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 2383936 = 288^2 + 1544^2 .

It is not an unprimeable number, because it can be changed into a prime (2466881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3864 + ... + 4456.

It is an arithmetic number, because the mean of its divisors is an integer number (113157).

22466880 is an apocalyptic number.

2466880 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 2466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168396).

2466880 is an abundant number, since it is smaller than the sum of its proper divisors (3869912).

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

2466880 is a wasteful number, since it uses less digits than its factorization.

2466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2466880 is about 1570.6304466678. The cubic root of 2466880 is about 135.1188710661.

The spelling of 2466880 in words is "two million, four hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 593 832 1040 1186 2080 2372 2965 4160 4744 5930 7709 9488 11860 15418 18976 23720 30836 37952 38545 47440 61672 77090 94880 123344 154180 189760 246688 308360 493376 616720 1233440 2466880