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2423539440 = 243457232101
BaseRepresentation
bin1001000001110100…
…0100011011110000
320020220022120010000
42100131010123300
514430411230230
61040252510000
7114025513440
oct22035043360
96226276100
102423539440
111034030063
1257777b300
132c813b10a
1418dc2a120
15e2b75b60
hex907446f0

2423539440 has 600 divisors, whose sum is σ = 10155787488. Its totient is φ = 524620800.

The previous prime is 2423539439. The next prime is 2423539441. The reversal of 2423539440 is 449353242.

It is an interprime number because it is at equal distance from previous prime (2423539439) and next prime (2423539441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2423539395 and 2423539404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423539441) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 23995390 + ... + 23995490.

Almost surely, 22423539440 is an apocalyptic number.

2423539440 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 2423539440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077893744).

2423539440 is an abundant number, since it is smaller than the sum of its proper divisors (7732248048).

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

2423539440 is a wasteful number, since it uses less digits than its factorization.

2423539440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2423539440 is about 49229.4570353970. The cubic root of 2423539440 is about 1343.2289103679.

The spelling of 2423539440 in words is "two billion, four hundred twenty-three million, five hundred thirty-nine thousand, four hundred forty".