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2280989088 = 2532759127151
BaseRepresentation
bin1000011111110101…
…0010000110100000
312212222002020210100
42013331102012200
514132413122323
61014201302400
7110345041650
oct20775220640
95788066710
102280989088
11a70616954
12537a94a00
132a4749cb1
14178d20360
15d53b8943
hex87f521a0

2280989088 has 288 divisors, whose sum is σ = 7648542720. Its totient is φ = 631411200.

The previous prime is 2280989077. The next prime is 2280989141. The reversal of 2280989088 is 8809890822.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×22809890882 = 10405822439150143488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15105813 + ... + 15105963.

It is an arithmetic number, because the mean of its divisors is an integer number (26557440).

Almost surely, 22280989088 is an apocalyptic number.

2280989088 is a gapful number since it is divisible by the number (28) 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 2280989088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824271360).

2280989088 is an abundant number, since it is smaller than the sum of its proper divisors (5367553632).

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

2280989088 is a wasteful number, since it uses less digits than its factorization.

2280989088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 2280989088 is about 47759.7015066049. The cubic root of 2280989088 is about 1316.3591681708.

The spelling of 2280989088 in words is "two billion, two hundred eighty million, nine hundred eighty-nine thousand, eighty-eight".