Search a number
-
+
2490880 = 2957139
BaseRepresentation
bin1001100000001000000000
311200112211211
421200020000
51114202010
6125215504
730113020
oct11401000
94615754
102490880
111451487
12a01594
136929c2
1448ba80
1534308a
hex260200

2490880 has 80 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 847872.

The previous prime is 2490869. The next prime is 2490889. The reversal of 2490880 is 880942.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2490889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17851 + ... + 17989.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

22490880 is an apocalyptic number.

2490880 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 2490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2490880 is an abundant number, since it is smaller than the sum of its proper divisors (4383680).

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

2490880 is an equidigital number, since it uses as much as digits as its factorization.

2490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2490880 is about 1578.2521978442. The cubic root of 2490880 is about 135.5556431464. Note that the first 3 decimals are identical.

The spelling of 2490880 in words is "two million, four hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 139 140 160 224 256 278 280 320 448 512 556 560 640 695 896 973 1112 1120 1280 1390 1792 1946 2224 2240 2560 2780 3584 3892 4448 4480 4865 5560 7784 8896 8960 9730 11120 15568 17792 17920 19460 22240 31136 35584 38920 44480 62272 71168 77840 88960 124544 155680 177920 249088 311360 355840 498176 622720 1245440 2490880