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2182480740 = 22335111721613
BaseRepresentation
bin1000001000010110…
…0000001101100100
312122002201111202000
42002011200031210
513432203340430
61000322045300
7105040531416
oct20205401544
95562644660
102182480740
11a1aa540a0
1250aaa9830
1328a20942b
14169bda9b6
15cb90ae60
hex82160364

2182480740 has 192 divisors, whose sum is σ = 7843288320. Its totient is φ = 497940480.

The previous prime is 2182480721. The next prime is 2182480747. The reversal of 2182480740 is 470842812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2182480695 and 2182480704.

It is not an unprimeable number, because it can be changed into a prime (2182480747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90174 + ... + 111786.

It is an arithmetic number, because the mean of its divisors is an integer number (40850460).

Almost surely, 22182480740 is an apocalyptic number.

2182480740 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 2182480740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921644160).

2182480740 is an abundant number, since it is smaller than the sum of its proper divisors (5660807580).

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

2182480740 is a wasteful number, since it uses less digits than its factorization.

2182480740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21659 (or 21651 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2182480740 is about 46717.0283729605. The cubic root of 2182480740 is about 1297.1299088148.

The spelling of 2182480740 in words is "two billion, one hundred eighty-two million, four hundred eighty thousand, seven hundred forty".