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2042300440 = 2351710728069
BaseRepresentation
bin111100110111011…
…0000100000011000
312021022221121112001
41321232300200120
513140312103230
6534353330344
7101416160455
oct17156604030
95238847461
102042300440
11958909604
1248bb669b4
13267167ccb
1415534a82c
15be46b0ca
hex79bb0818

2042300440 has 64 divisors (see below), whose sum is σ = 4911127200. Its totient is φ = 761653248.

The previous prime is 2042300411. The next prime is 2042300441. The reversal of 2042300440 is 440032402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042300441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58726 + ... + 86794.

Almost surely, 22042300440 is an apocalyptic number.

2042300440 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 2042300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455563600).

2042300440 is an abundant number, since it is smaller than the sum of its proper divisors (2868826760).

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

2042300440 is a wasteful number, since it uses less digits than its factorization.

2042300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28204 (or 28200 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2042300440 is about 45191.8182860570. The cubic root of 2042300440 is about 1268.7416887676.

Adding to 2042300440 its reverse (440032402), we get a palindrome (2482332842).

The spelling of 2042300440 in words is "two billion, forty-two million, three hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 107 136 170 214 340 428 535 680 856 1070 1819 2140 3638 4280 7276 9095 14552 18190 28069 36380 56138 72760 112276 140345 224552 280690 477173 561380 954346 1122760 1908692 2385865 3003383 3817384 4771730 6006766 9543460 12013532 15016915 19086920 24027064 30033830 51057511 60067660 102115022 120135320 204230044 255287555 408460088 510575110 1021150220 2042300440