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2675408640 = 2835696721
BaseRepresentation
bin1001111101110111…
…0111111100000000
320220110020211200220
42133131313330000
520434401034030
61121251143040
7123204412122
oct23735677400
96813224626
102675408640
111153220123
12627ba4a80
13338386548
141b5471212
15109d28a10
hex9f777f00

2675408640 has 72 divisors (see below), whose sum is σ = 8544598608. Its totient is φ = 713441280.

The previous prime is 2675408627. The next prime is 2675408647. The reversal of 2675408640 is 468045762.

It is a super-2 number, since 2×26754086402 = 14315622781973299200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2675408592 and 2675408601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2675408647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344521 + ... + 352200.

Almost surely, 22675408640 is an apocalyptic number.

2675408640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2675408640 is an abundant number, since it is smaller than the sum of its proper divisors (5869189968).

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

2675408640 is an equidigital number, since it uses as much as digits as its factorization.

2675408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696745 (or 696731 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 2675408640 is about 51724.3524850723. The cubic root of 2675408640 is about 1388.2362322743.

The spelling of 2675408640 in words is "two billion, six hundred seventy-five million, four hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 696721 1393442 2090163 2786884 3483605 4180326 5573768 6967210 8360652 10450815 11147536 13934420 16721304 20901630 22295072 27868840 33442608 41803260 44590144 55737680 66885216 83606520 89180288 111475360 133770432 167213040 178360576 222950720 267540864 334426080 445901440 535081728 668852160 891802880 1337704320 2675408640