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2670128020 = 2257294791373
BaseRepresentation
bin1001111100100110…
…1110101110010100
320220002022120001101
42133021232232110
520432023044040
61120542035444
7123111466540
oct23711565624
96802276041
102670128020
11115024377a
12626278b84
13337257b11
141b4898a20
1510963409a
hex9f26eb94

2670128020 has 96 divisors (see below), whose sum is σ = 6647961600. Its totient is φ = 881416704.

The previous prime is 2670128009. The next prime is 2670128033. The reversal of 2670128020 is 208210762.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2670128020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1944054 + ... + 1945426.

It is an arithmetic number, because the mean of its divisors is an integer number (69249600).

Almost surely, 22670128020 is an apocalyptic number.

2670128020 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 2670128020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323980800).

2670128020 is an abundant number, since it is smaller than the sum of its proper divisors (3977833580).

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

2670128020 is a wasteful number, since it uses less digits than its factorization.

2670128020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2670128020 is about 51673.2814905344. The cubic root of 2670128020 is about 1387.3222813798.

Adding to 2670128020 its reverse (208210762), we get a palindrome (2878338782).

The spelling of 2670128020 in words is "two billion, six hundred seventy million, one hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 479 580 812 958 1015 1373 1916 2030 2395 2746 3353 4060 4790 5492 6706 6865 9580 9611 13412 13730 13891 16765 19222 27460 27782 33530 38444 39817 48055 55564 67060 69455 79634 96110 97237 138910 159268 192220 194474 199085 277820 278719 388948 398170 486185 557438 657667 796340 972370 1114876 1315334 1393595 1944740 2630668 2787190 3288335 4603669 5574380 6576670 9207338 13153340 18414676 19072343 23018345 38144686 46036690 76289372 92073380 95361715 133506401 190723430 267012802 381446860 534025604 667532005 1335064010 2670128020