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2049184080 = 24325172329251
BaseRepresentation
bin111101000100100…
…0001000101010000
312021210220100002200
41322021001011100
513144042342310
6535201043200
7101531530416
oct17211010520
95253810080
102049184080
11961790369
12492326500
13268708278
1415621d2b6
15bed7a9c0
hex7a241150

2049184080 has 480 divisors, whose sum is σ = 7896994560. Its totient is φ = 473088000.

The previous prime is 2049184069. The next prime is 2049184087. The reversal of 2049184080 is 804819402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049184087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8163955 + ... + 8164205.

It is an arithmetic number, because the mean of its divisors is an integer number (16452072).

Almost surely, 22049184080 is an apocalyptic number.

2049184080 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 2049184080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948497280).

2049184080 is an abundant number, since it is smaller than the sum of its proper divisors (5847810480).

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

2049184080 is a wasteful number, since it uses less digits than its factorization.

2049184080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2049184080 is about 45267.9144648834. The cubic root of 2049184080 is about 1270.1655352872.

The spelling of 2049184080 in words is "two billion, forty-nine million, one hundred eighty-four thousand, eighty".