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2504232240 = 243510434301
BaseRepresentation
bin1001010101000011…
…1000110100110000
320110112011011211020
42111100320310300
520112040412430
61052254215440
7116025423426
oct22520706460
96415134736
102504232240
111075634824
1259a7b4580
1330ba81933
1419a833116
15e9cb4b10
hex95438d30

2504232240 has 40 divisors (see below), whose sum is σ = 7763120688. Its totient is φ = 667795200.

The previous prime is 2504232221. The next prime is 2504232251. The reversal of 2504232240 is 422324052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×25042322402 = 12542358223710835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2504232240.

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 7 ways as a sum of consecutive naturals, for example, 5216911 + ... + 5217390.

Almost surely, 22504232240 is an apocalyptic number.

2504232240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2504232240 is an abundant number, since it is smaller than the sum of its proper divisors (5258888448).

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

2504232240 is a wasteful number, since it uses less digits than its factorization.

2504232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434317 (or 10434311 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2504232240 is about 50042.3045032900. The cubic root of 2504232240 is about 1357.9742476443.

Adding to 2504232240 its reverse (422324052), we get a palindrome (2926556292).

The spelling of 2504232240 in words is "two billion, five hundred four million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 10434301 20868602 31302903 41737204 52171505 62605806 83474408 104343010 125211612 156514515 166948816 208686020 250423224 313029030 417372040 500846448 626058060 834744080 1252116120 2504232240