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2423060640 = 2532571113412
BaseRepresentation
bin1001000001101100…
…1111100010100000
320020212102020022200
42100123033202200
514430300420030
61040234333200
7114021450510
oct22033174240
96225366280
102423060640
111033833360
1257758a200
132c80011c0
1418db43840
15e2acdd60
hex906cf8a0

2423060640 has 864 divisors, whose sum is σ = 11379408768. Its totient is φ = 453427200.

The previous prime is 2423060617. The next prime is 2423060687. The reversal of 2423060640 is 460603242.

2423060640 is a `hidden beast` number, since 24 + 2 + 30 + 606 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59099020 + ... + 59099060.

It is an arithmetic number, because the mean of its divisors is an integer number (13170612).

Almost surely, 22423060640 is an apocalyptic number.

2423060640 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 2423060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689704384).

2423060640 is an abundant number, since it is smaller than the sum of its proper divisors (8956348128).

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

2423060640 is a wasteful number, since it uses less digits than its factorization.

2423060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2423060640 is about 49224.5938530731. The cubic root of 2423060640 is about 1343.1404474158.

Adding to 2423060640 its reverse (460603242), we get a palindrome (2883663882).

The spelling of 2423060640 in words is "two billion, four hundred twenty-three million, sixty thousand, six hundred forty".