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2330040240 = 2432511674391
BaseRepresentation
bin1000101011100001…
…1001011110110000
320000101101022022200
42022320121132300
514232442241430
61023112503200
7111512005143
oct21270313660
96011338280
102330040240
11a962797a0
125503aab00
132b1962548
1418164c05a
15d9857460
hex8ae197b0

2330040240 has 240 divisors, whose sum is σ = 8665802496. Its totient is φ = 556300800.

The previous prime is 2330040227. The next prime is 2330040263. The reversal of 2330040240 is 420400332.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 528445 + ... + 532835.

Almost surely, 22330040240 is an apocalyptic number.

2330040240 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 2330040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332901248).

2330040240 is an abundant number, since it is smaller than the sum of its proper divisors (6335762256).

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

2330040240 is a wasteful number, since it uses less digits than its factorization.

2330040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2330040240 is about 48270.4903641966. The cubic root of 2330040240 is about 1325.7281371086.

Adding to 2330040240 its reverse (420400332), we get a palindrome (2750440572).

The spelling of 2330040240 in words is "two billion, three hundred thirty million, forty thousand, two hundred forty".