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2420040744 = 2332114174527
BaseRepresentation
bin1001000000111110…
…1110010000101000
320020122201210210200
42100033232100220
514424012300434
61040045512200
7113654002242
oct22017562050
96218653720
102420040744
111032060480
12576572660
132c74b4794
1418d599092
15e26d4199
hex903ee428

2420040744 has 96 divisors (see below), whose sum is σ = 7324611840. Its totient is φ = 715449600.

The previous prime is 2420040743. The next prime is 2420040803. The reversal of 2420040744 is 4470400242.

It is not an unprimeable number, because it can be changed into a prime (2420040743) 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 23 ways as a sum of consecutive naturals, for example, 4792 + ... + 69735.

It is an arithmetic number, because the mean of its divisors is an integer number (76298040).

Almost surely, 22420040744 is an apocalyptic number.

2420040744 is a gapful number since it is divisible by the number (24) 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 2420040744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662305920).

2420040744 is an abundant number, since it is smaller than the sum of its proper divisors (4904571096).

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

2420040744 is a wasteful number, since it uses less digits than its factorization.

2420040744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74591 (or 74584 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2420040744 is about 49193.9096230418. The cubic root of 2420040744 is about 1342.5822235669.

Adding to 2420040744 its reverse (4470400242), we get a palindrome (6890440986).

The spelling of 2420040744 in words is "two billion, four hundred twenty million, forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 164 198 246 264 328 369 396 451 492 738 792 902 984 1353 1476 1804 2706 2952 3608 4059 5412 8118 10824 16236 32472 74527 149054 223581 298108 447162 596216 670743 819797 894324 1341486 1639594 1788648 2459391 2682972 3055607 3279188 4918782 5365944 6111214 6558376 7378173 9166821 9837564 12222428 14756346 18333642 19675128 24444856 27500463 29512692 33611677 36667284 55000926 59025384 67223354 73334568 100835031 110001852 134446708 201670062 220003704 268893416 302505093 403340124 605010186 806680248 1210020372 2420040744