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2661211740 = 22351131130069
BaseRepresentation
bin1001111010011110…
…1101111001011100
320212110112120012210
42132213231321130
520422232233430
61120023000420
7122642632545
oct23647557134
96773476183
102661211740
111146203850
12623299110
13335455605
141b36174cc
151089722b0
hex9e9ede5c

2661211740 has 96 divisors (see below), whose sum is σ = 8391075840. Its totient is φ = 624326400.

The previous prime is 2661211727. The next prime is 2661211741. The reversal of 2661211740 is 471121662.

It is a super-2 number, since 2×26612117402 = 14164095850227655200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2661211698 and 2661211707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661211741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44575 + ... + 85494.

It is an arithmetic number, because the mean of its divisors is an integer number (87407040).

Almost surely, 22661211740 is an apocalyptic number.

2661211740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2661211740 is an abundant number, since it is smaller than the sum of its proper divisors (5729864100).

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

2661211740 is a wasteful number, since it uses less digits than its factorization.

2661211740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130123 (or 130121 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2661211740 is about 51586.9338108014. The cubic root of 2661211740 is about 1385.7763444971.

The spelling of 2661211740 in words is "two billion, six hundred sixty-one million, two hundred eleven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 130069 260138 390207 520276 650345 780414 1300690 1430759 1560828 1951035 2601380 2861518 3902070 4032139 4292277 5723036 7153795 7804140 8064278 8584554 12096417 14307590 16128556 17169108 20160695 21461385 24192834 28615180 40321390 42922770 44353529 48385668 60482085 80642780 85845540 88707058 120964170 133060587 177414116 221767645 241928340 266121174 443535290 532242348 665302935 887070580 1330605870 2661211740