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2402010240 = 273571710513
BaseRepresentation
bin1000111100101011…
…1100010010000000
320012101210202121020
42033022330102000
514404403311430
61034203225440
7113344515210
oct21712742200
96171722536
102402010240
111022965933
12570518280
132c3840946
1418b024240
15e0d21b10
hex8f2bc480

2402010240 has 256 divisors, whose sum is σ = 9265777920. Its totient is φ = 516685824.

The previous prime is 2402010239. The next prime is 2402010251. The reversal of 2402010240 is 420102042.

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

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 31 ways as a sum of consecutive naturals, for example, 223224 + ... + 233736.

It is an arithmetic number, because the mean of its divisors is an integer number (36194445).

Almost surely, 22402010240 is an apocalyptic number.

2402010240 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 2402010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632888960).

2402010240 is an abundant number, since it is smaller than the sum of its proper divisors (6863767680).

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

2402010240 is a wasteful number, since it uses less digits than its factorization.

2402010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2402010240 is about 49010.3074873031. The cubic root of 2402010240 is about 1339.2396072041.

Adding to 2402010240 its reverse (420102042), we get a palindrome (2822112282).

The spelling of 2402010240 in words is "two billion, four hundred two million, ten thousand, two hundred forty".