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2042041410 = 232567734639
BaseRepresentation
bin111100110110111…
…0001010001000010
312021022110110012100
41321231301101002
513140230311120
6534344011230
7101414031333
oct17155612102
95238413170
102042041410
11958751a32
1248ba60b16
132670a7136
141552c028a
15be419490
hex79b71442

2042041410 has 96 divisors (see below), whose sum is σ = 5463544320. Its totient is φ = 528954624.

The previous prime is 2042041363. The next prime is 2042041459. The reversal of 2042041410 is 141402402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437871 + ... + 442509.

It is an arithmetic number, because the mean of its divisors is an integer number (56911920).

Almost surely, 22042041410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042041410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731772160).

2042041410 is an abundant number, since it is smaller than the sum of its proper divisors (3421502910).

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

2042041410 is a wasteful number, since it uses less digits than its factorization.

2042041410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2042041410 is about 45188.9523003134. The cubic root of 2042041410 is about 1268.6880472875.

Adding to 2042041410 its reverse (141402402), we get a palindrome (2183443812).

The spelling of 2042041410 in words is "two billion, forty-two million, forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 73 90 134 146 201 219 335 365 402 438 603 657 670 730 1005 1095 1206 1314 2010 2190 3015 3285 4639 4891 6030 6570 9278 9782 13917 14673 23195 24455 27834 29346 41751 44019 46390 48910 69585 73365 83502 88038 139170 146730 208755 220095 310813 338647 417510 440190 621626 677294 932439 1015941 1554065 1693235 1864878 2031882 2797317 3047823 3108130 3386470 4662195 5079705 5594634 6095646 9324390 10159410 13986585 15239115 22689349 27973170 30478230 45378698 68068047 113446745 136136094 204204141 226893490 340340235 408408282 680680470 1021020705 2042041410