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2530880 = 26511719
BaseRepresentation
bin1001101001111001000000
311202120201022
421221321000
51121442010
6130125012
730340442
oct11517100
94676638
102530880
111479540
12a20768
136a7c81
1449c492
1534ed55
hex269e40

2530880 has 56 divisors (see below), whose sum is σ = 6583680. Its totient is φ = 919040.

The previous prime is 2530877. The next prime is 2530907. The reversal of 2530880 is 880352.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3161 + ... + 3879.

22530880 is an apocalyptic number.

2530880 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 2530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291840).

2530880 is an abundant number, since it is smaller than the sum of its proper divisors (4052800).

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

2530880 is a wasteful number, since it uses less digits than its factorization.

2530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2530880 is about 1590.8739736384. The cubic root of 2530880 is about 136.2774037969.

The spelling of 2530880 in words is "two million, five hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 719 880 1438 1760 2876 3520 3595 5752 7190 7909 11504 14380 15818 23008 28760 31636 39545 46016 57520 63272 79090 115040 126544 158180 230080 253088 316360 506176 632720 1265440 2530880