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2661044320 = 255114136877
BaseRepresentation
bin1001111010011100…
…0101000001100000
320212110020001120001
42132213011001200
520422211404240
61120015225344
7122641334464
oct23647050140
96773201501
102661044320
1111460a9a90
12623218254
133353c734c
141b35b24a4
1510893c89a
hex9e9c5060

2661044320 has 96 divisors (see below), whose sum is σ = 7025701536. Its totient is φ = 944025600.

The previous prime is 2661044231. The next prime is 2661044333. The reversal of 2661044320 is 234401662.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53722 + ... + 90598.

It is an arithmetic number, because the mean of its divisors is an integer number (73184391).

Almost surely, 22661044320 is an apocalyptic number.

2661044320 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 2661044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512850768).

2661044320 is an abundant number, since it is smaller than the sum of its proper divisors (4364657216).

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

2661044320 is a wasteful number, since it uses less digits than its factorization.

2661044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36944 (or 36936 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2661044320 is about 51585.3110875567. The cubic root of 2661044320 is about 1385.7472836076.

Adding to 2661044320 its reverse (234401662), we get a palindrome (2895445982).

The spelling of 2661044320 in words is "two billion, six hundred sixty-one million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 110 160 164 176 205 220 328 352 410 440 451 656 820 880 902 1312 1640 1760 1804 2255 3280 3608 4510 6560 7216 9020 14432 18040 36080 36877 72160 73754 147508 184385 295016 368770 405647 590032 737540 811294 1180064 1475080 1511957 1622588 2028235 2950160 3023914 3245176 4056470 5900320 6047828 6490352 7559785 8112940 12095656 12980704 15119570 16225880 16631527 24191312 30239140 32451760 33263054 48382624 60478280 64903520 66526108 83157635 120956560 133052216 166315270 241913120 266104432 332630540 532208864 665261080 1330522160 2661044320