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2058245760 = 27351763059
BaseRepresentation
bin111101010101110…
…0101011010000000
312022102221201101110
41322223211122000
513203402331020
6540123203320
7102001541334
oct17253453200
95272851343
102058245760
1196690a55a
12495376540
1326a55b9cc
141574db7c4
15c0a6a8e0
hex7aae5680

2058245760 has 128 divisors (see below), whose sum is σ = 6946689600. Its totient is φ = 516571136.

The previous prime is 2058245753. The next prime is 2058245789. The reversal of 2058245760 is 675428502.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1111 + ... + 64169.

Almost surely, 22058245760 is an apocalyptic number.

2058245760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473344800).

2058245760 is an abundant number, since it is smaller than the sum of its proper divisors (4888443840).

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

2058245760 is a wasteful number, since it uses less digits than its factorization.

2058245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63098 (or 63086 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 2058245760 is about 45367.8934930861. The cubic root of 2058245760 is about 1272.0350451165.

The spelling of 2058245760 in words is "two billion, fifty-eight million, two hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 63059 126118 189177 252236 315295 378354 504472 630590 756708 945885 1008944 1072003 1261180 1513416 1891770 2017888 2144006 2522360 3026832 3216009 3783540 4035776 4288012 5044720 5360015 6053664 6432018 7567080 8071552 8576024 10089440 10720030 12107328 12864036 15134160 16080045 17152048 20178880 21440060 24214656 25728072 30268320 32160090 34304096 40357760 42880120 51456144 60536640 64320180 68608192 85760240 102912288 121073280 128640360 137216384 171520480 205824576 257280720 343040960 411649152 514561440 686081920 1029122880 2058245760