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2400244242 = 2311379710133
BaseRepresentation
bin1000111100010000…
…1101001000010010
320012021111001002220
42033010031020102
514403430303432
61034101321510
7113323511424
oct21704151022
96167431086
102400244242
11102196a030
1256ba06296
132c3372b86
1418aac4814
15e0ac372c
hex8f10d212

2400244242 has 64 divisors (see below), whose sum is σ = 5434418304. Its totient is φ = 700323840.

The previous prime is 2400244241. The next prime is 2400244243. The reversal of 2400244242 is 2424420042.

It is an interprime number because it is at equal distance from previous prime (2400244241) and next prime (2400244243).

It is a super-2 number, since 2×24002442422 = 11522344842508309128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2400244241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231808 + ... + 241940.

It is an arithmetic number, because the mean of its divisors is an integer number (84912786).

Almost surely, 22400244242 is an apocalyptic number.

2400244242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400244242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717209152).

2400244242 is an abundant number, since it is smaller than the sum of its proper divisors (3034174062).

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

2400244242 is a wasteful number, since it uses less digits than its factorization.

2400244242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10283.

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2400244242 is about 48992.2875767197. The cubic root of 2400244242 is about 1338.9113163022.

Adding to 2400244242 its reverse (2424420042), we get a palindrome (4824664284).

It can be divided in two parts, 2400 and 244242, that added together give a palindrome (246642).

The spelling of 2400244242 in words is "two billion, four hundred million, two hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 97 111 194 222 291 407 582 814 1067 1221 2134 2442 3201 3589 6402 7178 10133 10767 20266 21534 30399 39479 60798 78958 111463 118437 222926 236874 334389 374921 668778 749842 982901 1124763 1965802 2249526 2948703 4124131 5897406 8248262 10811911 12372393 21623822 24744786 32435733 36367337 64871466 72734674 109102011 218204022 400040707 800081414 1200122121 2400244242