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2646420440 = 235411613671
BaseRepresentation
bin1001110110111101…
…0010101111011000
320211102201002100212
42131233102233120
520404440423230
61114333550252
7122403126326
oct23557225730
96742632325
102646420440
111138920934
1261a345388
13332376c71
141b1686d16
151074ee895
hex9dbd2bd8

2646420440 has 32 divisors (see below), whose sum is σ = 6099680160. Its totient is φ = 1032748800.

The previous prime is 2646420437. The next prime is 2646420463. The reversal of 2646420440 is 440246462.

It is a super-2 number, since 2×26464204402 = 14007082290499587200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2646420397 and 2646420406.

It is a congruent number.

It is an unprimeable number.

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, 805196 + ... + 808475.

It is an arithmetic number, because the mean of its divisors is an integer number (190615005).

Almost surely, 22646420440 is an apocalyptic number.

2646420440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2646420440 is an abundant number, since it is smaller than the sum of its proper divisors (3453259720).

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

2646420440 is a wasteful number, since it uses less digits than its factorization.

2646420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613723 (or 1613719 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 2646420440 is about 51443.3711959082. The cubic root of 2646420440 is about 1383.2041419325.

The spelling of 2646420440 in words is "two billion, six hundred forty-six million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1613671 3227342 6454684 8068355 12909368 16136710 32273420 64546840 66160511 132321022 264642044 330802555 529284088 661605110 1323210220 2646420440