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2442111040 = 26519439341
BaseRepresentation
bin1001000110001111…
…1010100001000000
320022012021002120001
42101203322201000
520000140023130
61042154525344
7114342413155
oct22143724100
96265232501
102442111040
111043565196
12581a36854
132cbc41325
141924a222c
15e45e36ca
hex918fa840

2442111040 has 112 divisors (see below), whose sum is σ = 6264371520. Its totient is φ = 903813120.

The previous prime is 2442111031. The next prime is 2442111053. The reversal of 2442111040 is 401112442.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 2442110999 and 2442111017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256770 + ... + 266110.

Almost surely, 22442111040 is an apocalyptic number.

2442111040 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 2442111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132185760).

2442111040 is an abundant number, since it is smaller than the sum of its proper divisors (3822260480).

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

2442111040 is a wasteful number, since it uses less digits than its factorization.

2442111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9420 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2442111040 is about 49417.7198988379. The cubic root of 2442111040 is about 1346.6512409870.

Adding to 2442111040 its reverse (401112442), we get a palindrome (2843223482).

The spelling of 2442111040 in words is "two billion, four hundred forty-two million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 43 64 76 80 86 95 152 160 172 190 215 304 320 344 380 430 608 688 760 817 860 1216 1376 1520 1634 1720 2752 3040 3268 3440 4085 6080 6536 6880 8170 9341 13072 13760 16340 18682 26144 32680 37364 46705 52288 65360 74728 93410 130720 149456 177479 186820 261440 298912 354958 373640 401663 597824 709916 747280 803326 887395 1419832 1494560 1606652 1774790 2008315 2839664 2989120 3213304 3549580 4016630 5679328 6426608 7099160 7631597 8033260 11358656 12853216 14198320 15263194 16066520 25706432 28396640 30526388 32133040 38157985 56793280 61052776 64266080 76315970 122105552 128532160 152631940 244211104 305263880 488422208 610527760 1221055520 2442111040