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2072219269920 = 253529991439521
BaseRepresentation
bin11110001001111001111…
…001001011101100100000
321100002202112010212211220
4132021321321023230200
5232422401113114140
64223544150335040
7302466345112302
oct36117171135440
97302675125756
102072219269920
11729906834228
1229573a05a480
131205426c9397
147242011b972
1538d83364bd0
hex1e279e4bb20

2072219269920 has 96 divisors (see below), whose sum is σ = 6529671792000. Its totient is φ = 552407162880.

The previous prime is 2072219269889. The next prime is 2072219269949. The reversal of 2072219269920 is 299629122702.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719760 + ... + 2159280.

It is an arithmetic number, because the mean of its divisors is an integer number (68017414500).

Almost surely, 22072219269920 is an apocalyptic number.

2072219269920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 1439520×1439521.

It is an amenable number.

2072219269920 is an abundant number, since it is smaller than the sum of its proper divisors (4457452522080).

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

2072219269920 is a wasteful number, since it uses less digits than its factorization.

2072219269920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442538 (or 1442530 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 2072219269920 in words is "two trillion, seventy-two billion, two hundred nineteen million, two hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2999 5998 8997 11996 14995 17994 23992 29990 35988 44985 47984 59980 71976 89970 95968 119960 143952 179940 239920 287904 359880 479840 719760 1439520 1439521 2879042 4318563 5758084 7197605 8637126 11516168 14395210 17274252 21592815 23032336 28790420 34548504 43185630 46064672 57580840 69097008 86371260 115161680 138194016 172742520 230323360 345485040 690970080 4317123479 8634246958 12951370437 17268493916 21585617395 25902740874 34536987832 43171234790 51805481748 64756852185 69073975664 86342469580 103610963496 129513704370 138147951328 172684939160 207221926992 259027408740 345369878320 414443853984 518054817480 690739756640 1036109634960 2072219269920