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2490761280 = 263572912781
BaseRepresentation
bin1001010001110110…
…0000000001000000
320102120210210010210
42110131200001000
520100113330110
61051053354120
7115503056460
oct22435400100
96376723123
102490761280
111068a738a7
12596198940
13309046257
14198b27ba0
15e8a03520
hex94760040

2490761280 has 224 divisors, whose sum is σ = 9350288640. Its totient is φ = 549642240.

The previous prime is 2490761279. The next prime is 2490761291. The reversal of 2490761280 is 821670942.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188490 + ... + 201270.

It is an arithmetic number, because the mean of its divisors is an integer number (41742360).

Almost surely, 22490761280 is an apocalyptic number.

2490761280 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 2490761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675144320).

2490761280 is an abundant number, since it is smaller than the sum of its proper divisors (6859527360).

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

2490761280 is a wasteful number, since it uses less digits than its factorization.

2490761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12837 (or 12827 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2490761280 is about 49907.5272879753. The cubic root of 2490761280 is about 1355.5348950040.

The spelling of 2490761280 in words is "two billion, four hundred ninety million, seven hundred sixty-one thousand, two hundred eighty".