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2124466340 = 225298344131
BaseRepresentation
bin111111010100000…
…1100100010100100
312111001120001221112
41332220030202210
513322330410330
6550450404152
7103434444263
oct17650144244
95431501845
102124466340
119a022a007
124b3590658
1327b1a6199
141622185da
15c679b795
hex7ea0c8a4

2124466340 has 48 divisors (see below), whose sum is σ = 4670930880. Its totient is φ = 810579840.

The previous prime is 2124466313. The next prime is 2124466343. The reversal of 2124466340 is 436644212.

It is a junction number, because it is equal to n+sod(n) for n = 2124466297 and 2124466306.

It is not an unprimeable number, because it can be changed into a prime (2124466343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26075 + ... + 70205.

It is an arithmetic number, because the mean of its divisors is an integer number (97311060).

Almost surely, 22124466340 is an apocalyptic number.

2124466340 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 2124466340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335465440).

2124466340 is an abundant number, since it is smaller than the sum of its proper divisors (2546464540).

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

2124466340 is a wasteful number, since it uses less digits than its factorization.

2124466340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44252 (or 44250 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 2124466340 is about 46091.9335675994. The cubic root of 2124466340 is about 1285.5331635630.

The spelling of 2124466340 in words is "two billion, one hundred twenty-four million, four hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 290 332 415 580 830 1660 2407 4814 9628 12035 24070 44131 48140 88262 176524 220655 441310 882620 1279799 2559598 3662873 5119196 6398995 7325746 12797990 14651492 18314365 25595980 36628730 73257460 106223317 212446634 424893268 531116585 1062233170 2124466340