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2540560 = 245112887
BaseRepresentation
bin1001101100010000010000
311210001222211
421230100100
51122244220
6130241504
730410611
oct11542020
94701884
102540560
111485840
12a26294
136ac4b9
144a1c08
15352b5a
hex26c410

2540560 has 40 divisors (see below), whose sum is σ = 6446016. Its totient is φ = 923520.

The previous prime is 2540539. The next prime is 2540563. The reversal of 2540560 is 650452.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×25405602 = 12908890227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2540563) 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, 564 + ... + 2323.

22540560 is an apocalyptic number.

2540560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540560 is an abundant number, since it is smaller than the sum of its proper divisors (3905456).

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

2540560 is a wasteful number, since it uses less digits than its factorization.

2540560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2540560 is about 1593.9134229939. The cubic root of 2540560 is about 136.4509253921.

The spelling of 2540560 in words is "two million, five hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2887 5774 11548 14435 23096 28870 31757 46192 57740 63514 115480 127028 158785 230960 254056 317570 508112 635140 1270280 2540560