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2425641240 = 2335111837607
BaseRepresentation
bin1001000010010100…
…0101100100011000
320021001021100020110
42100211011210120
514431431004430
61040405524320
7114052416231
oct22045054430
96231240213
102425641240
111035236190
125784136a0
132c86c5999
14190216088
15e2e3d7b0
hex90945918

2425641240 has 64 divisors (see below), whose sum is σ = 7938466560. Its totient is φ = 588033920.

The previous prime is 2425641233. The next prime is 2425641247. The reversal of 2425641240 is 421465242.

It is an interprime number because it is at equal distance from previous prime (2425641233) and next prime (2425641247).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2425641198 and 2425641207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425641247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917484 + ... + 920123.

It is an arithmetic number, because the mean of its divisors is an integer number (124038540).

Almost surely, 22425641240 is an apocalyptic number.

2425641240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2425641240 is an abundant number, since it is smaller than the sum of its proper divisors (5512825320).

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

2425641240 is a wasteful number, since it uses less digits than its factorization.

2425641240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837632 (or 1837628 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2425641240 is about 49250.7993843755. The cubic root of 2425641240 is about 1343.6171005683.

The spelling of 2425641240 in words is "two billion, four hundred twenty-five million, six hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1837607 3675214 5512821 7350428 9188035 11025642 14700856 18376070 20213677 22051284 27564105 36752140 40427354 44102568 55128210 60641031 73504280 80854708 101068385 110256420 121282062 161709416 202136770 220512840 242564124 303205155 404273540 485128248 606410310 808547080 1212820620 2425641240