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2071213440 = 27351078757
BaseRepresentation
bin111101101110100…
…0011010110000000
312100100100112200220
41323131003112000
513220212312230
6541305143040
7102220011102
oct17335032600
95310315626
102071213440
1197316734a
1249978aa80
1327014c2aa
14159115572
15c1c7cd10
hex7b743580

2071213440 has 64 divisors (see below), whose sum is σ = 6601998960. Its totient is φ = 552323072.

The previous prime is 2071213421. The next prime is 2071213477. The reversal of 2071213440 is 443121702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×20712134402 = 8579850228073267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2071213440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537459 + ... + 541298.

Almost surely, 22071213440 is an apocalyptic number.

2071213440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2071213440 is an abundant number, since it is smaller than the sum of its proper divisors (4530785520).

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

2071213440 is a wasteful number, since it uses less digits than its factorization.

2071213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078779 (or 1078767 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2071213440 is about 45510.5860212764. The cubic root of 2071213440 is about 1274.7008786960.

The spelling of 2071213440 in words is "two billion, seventy-one million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1078757 2157514 3236271 4315028 5393785 6472542 8630056 10787570 12945084 16181355 17260112 21575140 25890168 32362710 34520224 43150280 51780336 64725420 69040448 86300560 103560672 129450840 138080896 172601120 207121344 258901680 345202240 414242688 517803360 690404480 1035606720 2071213440