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2640480 = 25355501
BaseRepresentation
bin1010000100101001100000
311222011001120
422010221200
51133443410
6132332240
731305123
oct12045140
94864046
102640480
111543917
12a74080
13715b1b
144ca3ba
15372570
hex284a60

2640480 has 48 divisors (see below), whose sum is σ = 8319024. Its totient is φ = 704000.

The previous prime is 2640409. The next prime is 2640497. The reversal of 2640480 is 840462.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2640480.

It is a congruent number.

It is an unprimeable number.

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, 2271 + ... + 3230.

It is an arithmetic number, because the mean of its divisors is an integer number (173313).

22640480 is an apocalyptic number.

2640480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2640480 is an abundant number, since it is smaller than the sum of its proper divisors (5678544).

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

2640480 is a wasteful number, since it uses less digits than its factorization.

2640480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2640480 is about 1624.9553840029. The cubic root of 2640480 is about 138.2168403632.

The spelling of 2640480 in words is "two million, six hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5501 11002 16503 22004 27505 33006 44008 55010 66012 82515 88016 110020 132024 165030 176032 220040 264048 330060 440080 528096 660120 880160 1320240 2640480