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2041376580 = 223453734057
BaseRepresentation
bin111100110101100…
…1110111101000100
312021021012200020000
41321223032331010
513140043022310
6534321441300
7101405262135
oct17153167504
95237180200
102041376580
11958338491
1248b7a0230
13266c03649
14155189c8c
15be3374c0
hex79acef44

2041376580 has 120 divisors (see below), whose sum is σ = 6577144728. Its totient is φ = 529638912.

The previous prime is 2041376573. The next prime is 2041376581. The reversal of 2041376580 is 856731402.

2041376580 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 76 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 939667716 + 1101708864 = 30654^2 + 33192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2041376581) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42912 + ... + 76968.

Almost surely, 22041376580 is an apocalyptic number.

2041376580 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 2041376580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288572364).

2041376580 is an abundant number, since it is smaller than the sum of its proper divisors (4535768148).

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

2041376580 is a wasteful number, since it uses less digits than its factorization.

2041376580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34115 (or 34104 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2041376580 is about 45181.5955893547. The cubic root of 2041376580 is about 1268.5503495532.

The spelling of 2041376580 in words is "two billion, forty-one million, three hundred seventy-six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2220 2997 3330 3996 4995 5994 6660 9990 11988 14985 19980 29970 34057 59940 68114 102171 136228 170285 204342 306513 340570 408684 510855 613026 681140 919539 1021710 1226052 1260109 1532565 1839078 2043420 2520218 2758617 3065130 3678156 3780327 4597695 5040436 5517234 6130260 6300545 7560654 9195390 11034468 11340981 12601090 13793085 15121308 18390780 18901635 22681962 25202180 27586170 34022943 37803270 45363924 55172340 56704905 68045886 75606540 102068829 113409810 136091772 170114715 204137658 226819620 340229430 408275316 510344145 680458860 1020688290 2041376580