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2078974980 = 2232559319477
BaseRepresentation
bin111101111101010…
…1010010000000100
312100212221212112100
41323322222100010
513224204144410
6542143352100
7102342665355
oct17372522004
95325855470
102078974980
11977588745
124a02b2630
13271939014
1415a175d2c
15c27b28c0
hex7beaa404

2078974980 has 72 divisors (see below), whose sum is σ = 6317182872. Its totient is φ = 553430016.

The previous prime is 2078974973. The next prime is 2078975021. The reversal of 2078974980 is 894798702.

2078974980 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 459073476 + 1619901504 = 21426^2 + 40248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97002 + ... + 116478.

It is an arithmetic number, because the mean of its divisors is an integer number (87738651).

Almost surely, 22078974980 is an apocalyptic number.

2078974980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2078974980 is an abundant number, since it is smaller than the sum of its proper divisors (4238207892).

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

2078974980 is a wasteful number, since it uses less digits than its factorization.

2078974980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20085 (or 20080 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2078974980 is about 45595.7780940297. The cubic root of 2078974980 is about 1276.2911395953.

The spelling of 2078974980 in words is "two billion, seventy-eight million, nine hundred seventy-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 593 1186 1779 2372 2965 3558 5337 5930 7116 8895 10674 11860 17790 19477 21348 26685 35580 38954 53370 58431 77908 97385 106740 116862 175293 194770 233724 292155 350586 389540 584310 701172 876465 1168620 1752930 3505860 11549861 23099722 34649583 46199444 57749305 69299166 103948749 115498610 138598332 173247915 207897498 230997220 346495830 415794996 519743745 692991660 1039487490 2078974980