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2419734090 = 2352330711423
BaseRepresentation
bin1001000000111010…
…0011011001001010
320020122011020011010
42100032203121022
514423422442330
61040035144350
7113651254224
oct22016433112
96218136133
102419734090
111031971044
125764450b6
132c7408027
1418d519414
15e26733b0
hex903a364a

2419734090 has 64 divisors (see below), whose sum is σ = 6080126976. Its totient is φ = 615143232.

The previous prime is 2419734071. The next prime is 2419734091. The reversal of 2419734090 is 904379142.

It is a super-2 number, since 2×24197340902 = 11710226132616256200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2419734091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 206119 + ... + 217541.

It is an arithmetic number, because the mean of its divisors is an integer number (95001984).

Almost surely, 22419734090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2419734090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040063488).

2419734090 is an abundant number, since it is smaller than the sum of its proper divisors (3660392886).

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

2419734090 is a wasteful number, since it uses less digits than its factorization.

2419734090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11763.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2419734090 is about 49190.7927360395. The cubic root of 2419734090 is about 1342.5255130065.

The spelling of 2419734090 in words is "two billion, four hundred nineteen million, seven hundred thirty-four thousand, ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 307 345 614 690 921 1535 1842 3070 4605 7061 9210 11423 14122 21183 22846 34269 35305 42366 57115 68538 70610 105915 114230 171345 211830 262729 342690 525458 788187 1313645 1576374 2627290 3506861 3940935 7013722 7881870 10520583 17534305 21041166 35068610 52602915 80657803 105205830 161315606 241973409 403289015 483946818 806578030 1209867045 2419734090