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2041970688 = 21733577
BaseRepresentation
bin111100110110110…
…0000000000000000
312021022022212012000
41321231200000000
513140221030223
6534342304000
7101413315212
oct17155400000
95238285160
102041970688
1195870388a
1248ba28000
13267080ba4
141552a25b2
15be403543
hex79b60000

2041970688 has 144 divisors (see below), whose sum is σ = 6060746160. Its totient is φ = 679477248.

The previous prime is 2041970663. The next prime is 2041970737. The reversal of 2041970688 is 8860791402.

It is a tau number, because it is divible by the number of its divisors (144).

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, 3538656 + ... + 3539232.

It is an arithmetic number, because the mean of its divisors is an integer number (42088515).

Almost surely, 22041970688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041970688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030373080).

2041970688 is an abundant number, since it is smaller than the sum of its proper divisors (4018775472).

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

2041970688 is an frugal number, since it uses more digits than its factorization.

2041970688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2041970688 is about 45188.1697792686. The cubic root of 2041970688 is about 1268.6734009649.

The spelling of 2041970688 in words is "two billion, forty-one million, nine hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 577 768 864 1024 1152 1154 1536 1728 1731 2048 2304 2308 3072 3456 3462 4096 4608 4616 5193 6144 6912 6924 8192 9216 9232 10386 12288 13824 13848 15579 16384 18432 18464 20772 24576 27648 27696 31158 32768 36864 36928 41544 49152 55296 55392 62316 65536 73728 73856 83088 98304 110592 110784 124632 131072 147456 147712 166176 196608 221184 221568 249264 294912 295424 332352 393216 442368 443136 498528 589824 590848 664704 884736 886272 997056 1179648 1181696 1329408 1769472 1772544 1994112 2363392 2658816 3538944 3545088 3988224 4726784 5317632 7090176 7976448 9453568 10635264 14180352 15952896 18907136 21270528 28360704 31905792 37814272 42541056 56721408 63811584 75628544 85082112 113442816 127623168 170164224 226885632 255246336 340328448 510492672 680656896 1020985344 2041970688