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2042035040 = 25594713477
BaseRepresentation
bin111100110110110…
…1111101101100000
312021022110010110102
41321231233231200
513140230110130
6534343521532
7101414003633
oct17155575540
95238403412
102042035040
11958748171
1248ba592a8
132670a4276
141552bbc1a
15be417645
hex79b6fb60

2042035040 has 48 divisors (see below), whose sum is σ = 4829760432. Its totient is φ = 815890944.

The previous prime is 2042035033. The next prime is 2042035057. The reversal of 2042035040 is 405302402.

It is a super-3 number, since 3×20420350403 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144782 + ... + 158258.

It is an arithmetic number, because the mean of its divisors is an integer number (100620009).

Almost surely, 22042035040 is an apocalyptic number.

2042035040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042035040 is an abundant number, since it is smaller than the sum of its proper divisors (2787725392).

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

2042035040 is a wasteful number, since it uses less digits than its factorization.

2042035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14439 (or 14431 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2042035040 is about 45188.8818184296. The cubic root of 2042035040 is about 1268.6867280927.

Adding to 2042035040 its reverse (405302402), we get a palindrome (2447337442).

The spelling of 2042035040 in words is "two billion, forty-two million, thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 947 1894 3788 4735 7576 9470 13477 15152 18940 26954 30304 37880 53908 67385 75760 107816 134770 151520 215632 269540 431264 539080 1078160 2156320 12762719 25525438 51050876 63813595 102101752 127627190 204203504 255254380 408407008 510508760 1021017520 2042035040