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2492767680 = 263513199741
BaseRepresentation
bin1001010010010100…
…1001110111000000
320102201120201101220
42110211021313000
520101122031210
61051204355040
7115526114154
oct22445116700
96381521356
102492767680
11106a114287
125969a5a80
13309599580
141990cb064
15e8c9cc70
hex94949dc0

2492767680 has 112 divisors (see below), whose sum is σ = 8523390624. Its totient is φ = 613601280.

The previous prime is 2492767679. The next prime is 2492767687. The reversal of 2492767680 is 867672942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2492767687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87391 + ... + 112350.

It is an arithmetic number, because the mean of its divisors is an integer number (76101702).

Almost surely, 22492767680 is an apocalyptic number.

2492767680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2492767680 is an abundant number, since it is smaller than the sum of its proper divisors (6030622944).

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

2492767680 is a wasteful number, since it uses less digits than its factorization.

2492767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199774 (or 199764 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 2492767680 is about 49927.6244177509. The cubic root of 2492767680 is about 1355.8987750858.

The spelling of 2492767680 in words is "two billion, four hundred ninety-two million, seven hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 199741 399482 599223 798964 998705 1198446 1597928 1997410 2396892 2596633 2996115 3195856 3994820 4793784 5193266 5992230 6391712 7789899 7989640 9587568 10386532 11984460 12783424 12983165 15579798 15979280 19175136 20773064 23968920 25966330 31159596 31958560 38350272 38949495 41546128 47937840 51932660 62319192 63917120 77898990 83092256 95875680 103865320 124638384 155797980 166184512 191751360 207730640 249276768 311595960 415461280 498553536 623191920 830922560 1246383840 2492767680