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2042202440 = 235434092903
BaseRepresentation
bin111100110111001…
…1000100101001000
312021022202122002102
41321232120211020
513140300434230
6534351252532
7101415301655
oct17156304510
95238678072
102042202440
11958851a13
1248bb1a148
13267132515
14155322c2c
15be44c045
hex79b98948

2042202440 has 64 divisors (see below), whose sum is σ = 4714934400. Its totient is φ = 795658752.

The previous prime is 2042202439. The next prime is 2042202451. The reversal of 2042202440 is 442022402.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 702029 + ... + 704931.

It is an arithmetic number, because the mean of its divisors is an integer number (73670850).

Almost surely, 22042202440 is an apocalyptic number.

2042202440 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 2042202440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357467200).

2042202440 is an abundant number, since it is smaller than the sum of its proper divisors (2672731960).

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

2042202440 is a wasteful number, since it uses less digits than its factorization.

2042202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2042202440 is about 45190.7340059884. The cubic root of 2042202440 is about 1268.7213948755.

Adding to 2042202440 its reverse (442022402), we get a palindrome (2484224842).

The spelling of 2042202440 in words is "two billion, forty-two million, two hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 409 430 818 860 1636 1720 2045 2903 3272 4090 5806 8180 11612 14515 16360 17587 23224 29030 35174 58060 70348 87935 116120 124829 140696 175870 249658 351740 499316 624145 703480 998632 1187327 1248290 2374654 2496580 4749308 4993160 5936635 9498616 11873270 23746540 47493080 51055061 102110122 204220244 255275305 408440488 510550610 1021101220 2042202440