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2040002040 = 2335171019901
BaseRepresentation
bin111100110010111…
…1111010111111000
312021011121211201010
41321211333113320
513134220031130
6534232153520
7101360505546
oct17145772770
95234554633
102040002040
119575897aa
1248b2388a0
13266841acb
14154d0cd96
15be1650b0
hex7997f5f8

2040002040 has 128 divisors (see below), whose sum is σ = 6544825920. Its totient is φ = 506880000.

The previous prime is 2040002017. The next prime is 2040002101. The reversal of 2040002040 is 402000402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201090 + ... + 210990.

Almost surely, 22040002040 is an apocalyptic number.

2040002040 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 2040002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272412960).

2040002040 is an abundant number, since it is smaller than the sum of its proper divisors (4504823880).

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

2040002040 is a wasteful number, since it uses less digits than its factorization.

2040002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033 (or 10029 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2040002040 is about 45166.3817457188. The cubic root of 2040002040 is about 1268.2655638319.

Adding to 2040002040 its reverse (402000402), we get a palindrome (2442002442).

It can be divided in two parts, 204000 and 2040, that multiplied together give a square (416160000 = 204002).

The spelling of 2040002040 in words is "two billion, forty million, two thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 101 102 120 136 170 202 204 255 303 340 404 408 505 510 606 680 808 1010 1020 1212 1515 1717 2020 2040 2424 3030 3434 4040 5151 6060 6868 8585 9901 10302 12120 13736 17170 19802 20604 25755 29703 34340 39604 41208 49505 51510 59406 68680 79208 99010 103020 118812 148515 168317 198020 206040 237624 297030 336634 396040 504951 594060 673268 841585 1000001 1009902 1188120 1346536 1683170 2000002 2019804 2524755 3000003 3366340 4000004 4039608 5000005 5049510 6000006 6732680 8000008 10000010 10099020 12000012 15000015 17000017 20000020 20198040 24000024 30000030 34000034 40000040 51000051 60000060 68000068 85000085 102000102 120000120 136000136 170000170 204000204 255000255 340000340 408000408 510000510 680000680 1020001020 2040002040