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2423040000 = 211354631
BaseRepresentation
bin1001000001101100…
…1010100000000000
320020212101012000020
42100123022200000
514430244240000
61040234053440
7114021333363
oct22033124000
96225335006
102423040000
1110338198a7
1257757a280
132c7cc49a4
1418db3a0da
15e2ac7ba0
hex906ca800

2423040000 has 240 divisors, whose sum is σ = 8085036960. Its totient is φ = 645120000.

The previous prime is 2423039989. The next prime is 2423040013. The reversal of 2423040000 is 403242.

It is a happy number.

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

It is a super-2 number, since 2×24230400002 = 11742245683200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839685 + ... + 3840315.

It is an arithmetic number, because the mean of its divisors is an integer number (33687654).

Almost surely, 22423040000 is an apocalyptic number.

2423040000 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 2423040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042518480).

2423040000 is an abundant number, since it is smaller than the sum of its proper divisors (5661996960).

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

2423040000 is an frugal number, since it uses more digits than its factorization.

2423040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2423040000 is about 49224.3842013285. The cubic root of 2423040000 is about 1343.1366337133.

Adding to 2423040000 its reverse (403242), we get a palindrome (2423443242).

The spelling of 2423040000 in words is "two billion, four hundred twenty-three million, forty thousand".