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2123310240 = 253353071601
BaseRepresentation
bin111111010001111…
…0010010010100000
312110222101100002000
41332203302102200
513322031411430
6550405524000
7103421560602
oct17643622240
95428340060
102123310240
1199a60a457
124b3113600
1327ab8cbbc
14161dd7172
15c661de60
hex7e8f24a0

2123310240 has 192 divisors, whose sum is σ = 7460449920. Its totient is φ = 564019200.

The previous prime is 2123310223. The next prime is 2123310257. The reversal of 2123310240 is 420133212.

It is an interprime number because it is at equal distance from previous prime (2123310223) and next prime (2123310257).

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 31 ways as a sum of consecutive naturals, for example, 1325440 + ... + 1327040.

It is an arithmetic number, because the mean of its divisors is an integer number (38856510).

Almost surely, 22123310240 is an apocalyptic number.

2123310240 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 2123310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730224960).

2123310240 is an abundant number, since it is smaller than the sum of its proper divisors (5337139680).

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

2123310240 is a wasteful number, since it uses less digits than its factorization.

2123310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2123310240 is about 46079.3906209707. The cubic root of 2123310240 is about 1285.2999325105.

Adding to 2123310240 its reverse (420133212), we get a palindrome (2543443452).

The spelling of 2123310240 in words is "two billion, one hundred twenty-three million, three hundred ten thousand, two hundred forty".